{"id":8640,"date":"2022-03-01T18:10:56","date_gmt":"2022-03-01T18:10:56","guid":{"rendered":"https:\/\/blogs.ugto.mx\/rea\/?p=8640"},"modified":"2022-03-10T16:34:24","modified_gmt":"2022-03-10T16:34:24","slug":"clase-digital-2-determinantes","status":"publish","type":"post","link":"https:\/\/blogs.ugto.mx\/rea\/clase-digital-2-determinantes\/","title":{"rendered":"Clase digital 2. Determinantes"},"content":{"rendered":"\n<div class=\"wp-block-cover\" style=\"min-height:284px;aspect-ratio:unset;\"><span aria-hidden=\"true\" class=\"has-background-dim-40 wp-block-cover__gradient-background has-background-dim\"><\/span><img decoding=\"async\" class=\"wp-block-cover__image-background wp-image-8641\" alt=\"\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/tise_patt0a.jpg\" style=\"object-position:50% 50%\" data-object-fit=\"cover\" data-object-position=\"50% 50%\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1600\" height=\"1067\" class=\"wp-block-cover__image-background wp-image-8641\" alt=\"\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/tise_patt0a.jpg\" style=\"object-position:50% 50%\" data-object-fit=\"cover\" data-object-position=\"50% 50%\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/tise_patt0a.jpg 1600w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/tise_patt0a-300x200.jpg 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/tise_patt0a-1024x683.jpg 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/tise_patt0a-768x512.jpg 768w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/tise_patt0a-1536x1024.jpg 1536w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/tise_patt0a-272x182.jpg 272w\" sizes=\"auto, (max-width: 1600px) 100vw, 1600px\" \/><\/noscript><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<p class=\"has-text-align-center has-base-3-color has-text-color has-large-font-size wp-block-paragraph\">Determinantes<\/p>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"introduccion\">Introducci\u00f3n<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u00a1Hola!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Es un gusto encontrarte nuevamente, espero que est\u00e9s aprendiendo mucho, sobre todo, que tu \u00e1nimo no decaiga y sigas conociendo m\u00e1s acerca de los temas que se te presentan. Por lo tanto te invito a continuar en esta clase denominada DETERMINANTES el cual se dividir\u00e1 en 4 clases que abordar\u00e1n las siguientes tem\u00e1ticas:&nbsp;<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>Funci\u00f3n determinante.<\/li><li>Evaluaci\u00f3n de determinante por reducci\u00f3n en los renglones.<\/li><li>Propiedades de la funci\u00f3n determinante.<\/li><li>Desarrollo por cofactores.<\/li><\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">Iniciaremos nuestro estudio pensando en definir el concepto de determinante e investigaremos las propiedades de los determinantes. Dado que la complejidad de la funci\u00f3n determinante crece con el rango de la matriz involucrada es importante establecer t\u00e9cnicas para evaluar el determinante de una matriz y para esto tenemos dos t\u00e9cnicas que iremos trabajando durante estas clases: la evaluaci\u00f3n del determinante por reducci\u00f3n en los renglones y la del desarrollo por cofactores.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">La evaluaci\u00f3n del determinante es necesaria para saber si un sistema de ecuaciones lineales tiene soluci\u00f3n y siendo este el caso poder obtener la inversa de la matriz de coeficientes. Para poder aplicar las t\u00e9cnicas correctamente requerimos establecer varias definiciones y teoremas, de tal manera que cada paso que usemos con las t\u00e9cnicas apropiadas est\u00e9n plenamente justificados.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">El tema de <strong>espacios vectoriales<\/strong> incluye los siguientes subtemas:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Espacio euclidiano n-dimensional y espacios vectoriales generales.<\/li><li>Subespacios.<\/li><li>Independencia lineal.<\/li><li>Base y dimensi\u00f3n.<\/li><li>Espacio de renglones y columnas, rango.<\/li><li>Espacios de productos interiores.<\/li><li>Longitud y \u00e1ngulo en los espacios de productos interiores.<\/li><li>Bases ortonormales, coordenadas y cambios de base.<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Demos inicio a esta clase digital con mucho \u00e1nimo y te invito a reflexionar e investigar sobre las aplicaciones que tienen los temas que abordaremos.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"desarrollo-del-tema\">Desarrollo del tema<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">1. La funci\u00f3n determinante<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Definici\u00f3n:<\/strong> Una permutaci\u00f3n del conjunto de enteros {1, 2, . . ., n}, es un arreglo de estos enteros en cierto orden, sin omisiones o repeticiones.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Una permutaci\u00f3n general del conjunto {1,2,\u2026,n} se escribe (j<sub>1<\/sub>,j<sub>2<\/sub>,\u2026,j<sub>n<\/sub>). Teniendo que j1 es el primer entero de la permutaci\u00f3n, j2 es el segundo, etc. Se dice que ocurre una inversi\u00f3n en una permutaci\u00f3n (j<sub>1<\/sub>,j<sub>2<\/sub>,\u2026,j<sub>n<\/sub>) siempre que un entero mayor precede a uno menor.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Definici\u00f3n:<\/strong> Se dice que una permutaci\u00f3n es <strong>par<\/strong>, si el n\u00famero total de inversiones es un entero par, y se dice que es <strong>impar<\/strong>. si el n\u00famero total de inversiones es un entero impar.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Considera una matriz de nxn<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.24.21.png\" alt=\"\" class=\"wp-image-8642\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"297\" height=\"169\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.24.21.png\" alt=\"\" class=\"wp-image-8642\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Un <strong>producto elemental tomado de A<\/strong> es cualquier producto de n elementos tomados de A, sin que dos cualesquiera de ellos provengan del mismo rengl\u00f3n o la misma columna. Se denomina <strong>producto elemental con signo tomado de A<\/strong> a un producto elemental multiplicado por +1 o -1, tomando el + si es una permutaci\u00f3n par y el \u2013 si es una permutaci\u00f3n impar.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Definici\u00f3n:<\/strong> Sea A una matriz cuadrada. La <strong>funci\u00f3n determinante<\/strong> se denota por det, y se define det(A) como la suma de todos los productos elementales con signos tomados de A.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2. Evaluaci\u00f3n de determinantes por reducci\u00f3n en los renglones<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Teorema 1.<\/strong> Si A es cualquier matriz cuadrada que contiene un rengl\u00f3n de ceros, entonces det (A)=0.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Se dice que una matriz cuadrada es <strong>triangular superior<\/strong> si todos los elementos que est\u00e1n debajo de la diagonal principal son ceros. Una matriz cuadrada es <strong>triangular inferior<\/strong> si todos los elementos que est\u00e1n arriba de la diagonal principal son ceros. Una matriz triangular puede ser superior o inferior.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Teorema 2.<\/strong> Si A es una matriz triangular de nxn, entonces det(A) es el producto de los elementos de la diagonal principal; es decir det (A) = a<sub>11<\/sub> a<sub>22<\/sub> \u2026 a<sub>nn<\/sub>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Teorema 3.<\/strong> Sea A cualquier matriz de nxn.<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>Si A\u2019 es la matriz que se obtiene cuando un solo rengl\u00f3n de A se multiplica por una constante k, entonces det (A\u2019) = k det (A).<\/li><li>Si A\u2019 es la matriz que se obtiene al intercambiar dos renglones de A, entonces det(A\u2019) = -det(A).<\/li><li>Si A\u2019 es la matriz que se obtiene al sumar un m\u00faltiplo de uno de los renglones de A a otro rengl\u00f3n, entonces det (A\u2019) = det (A).<\/li><\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">Debemos notar que si una matriz cuadrada tiene dos renglones proporcionales, su determinante es cero.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3. Propiedades de la funci\u00f3n determinante<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Si A es una matriz mxn, entonces la <strong>transpuesta de A<\/strong> se denota por A<sup>t<\/sup> y se define como la matriz nxm cuya primera columna es el primer rengl\u00f3n de A, su segunda columna es el segundo rengl\u00f3n de A, su tercera columna es el tercer rengl\u00f3n de A, etc.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.29.09.png\" alt=\"\" class=\"wp-image-8643\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"458\" height=\"165\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.29.09.png\" alt=\"\" class=\"wp-image-8643\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.29.09.png 458w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.29.09-300x108.png 300w\" sizes=\"auto, (max-width: 458px) 100vw, 458px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Teorema 4.<\/strong> Si A es cualquier matriz cuadrada, entonces det (A) = det (A<sup>t<\/sup>).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Teorema 5.<\/strong> Si A y B son matrices cuadradas del mismo tama\u00f1o, entonces det (AB) = det(A) det (B).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Teorema 6.<\/strong> Una matriz cuadrada A es inversible si y s\u00f3lo si det (A)\u22600.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">4. Desarrollo por cofactores<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Definici\u00f3n:<\/strong> Si A es una matriz cuadrada, entonces el <strong>menor del elemento<\/strong> a<sub>ij<\/sub> se denota por M<sub>ij<\/sub> y se define como el determinante de la submatriz que se deja despu\u00e9s de eliminar de A el i-\u00e9simo rengl\u00f3n y la j-\u00e9sima columna. El n\u00famero (-1)<sup>i+j<\/sup> M<sub>ij<\/sub> se denota por C<sub>ij<\/sub> y se conoce como <strong>cofactor del elemento<\/strong> a<sub>ij<\/sub>.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">El cofactor y el menor de un elemento a<sub>ij<\/sub> difieren \u00fanicamente en el signo, es decir, C<sub>ij<\/sub>= \u00b1M<sub>ij<\/sub>. Es posible calcular el determinante de A multiplicando los elementos que est\u00e1n en la primera columna de A por sus cofactores y sumando los productos que resultan. Este m\u00e9todo para evaluar det (A) se conoce <strong>como desarrollo por cofactores<\/strong> a lo largo de la primera columna de A.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Teorema 7.<\/strong> Se puede calcular el determinante de una matriz A de nxn multiplicando los elementos de cualquier rengl\u00f3n (o columna) por sus cofactores y sumando los productos que resulten; es decir, para cada&nbsp;<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">1 \u2264 i \u2264 n y 1 \u2264 j \u2264 n,<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.32.29.png\" alt=\"\" class=\"wp-image-8644\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"540\" height=\"523\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.32.29.png\" alt=\"\" class=\"wp-image-8644\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.32.29.png 540w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.32.29-300x291.png 300w\" sizes=\"auto, (max-width: 540px) 100vw, 540px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.33.03.png\" alt=\"\" class=\"wp-image-8645\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"599\" height=\"292\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.33.03.png\" alt=\"\" class=\"wp-image-8645\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.33.03.png 599w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.33.03-300x146.png 300w\" sizes=\"auto, (max-width: 599px) 100vw, 599px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">1. ESPACIOS EUCLIDIANOS N DIMENSIONALES Y ESPACIOS VECTORIALES GENERALES<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Ahora veremos el tema de espacios vectoriales, a trav\u00e9s de definiciones y teoremas, comenzamos con la definici\u00f3n del espacio n dimensional:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.34.19.png\" alt=\"\" class=\"wp-image-8646\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"596\" height=\"76\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.34.19.png\" alt=\"\" class=\"wp-image-8646\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.34.19.png 596w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.34.19-300x38.png 300w\" sizes=\"auto, (max-width: 596px) 100vw, 596px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.34.44.png\" alt=\"\" class=\"wp-image-8647\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"605\" height=\"722\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.34.44.png\" alt=\"\" class=\"wp-image-8647\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.34.44.png 605w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.34.44-251x300.png 251w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.35.55.png\" alt=\"\" class=\"wp-image-8648\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"594\" height=\"760\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.35.55.png\" alt=\"\" class=\"wp-image-8648\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.35.55.png 594w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.35.55-234x300.png 234w\" sizes=\"auto, (max-width: 594px) 100vw, 594px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.37.54.png\" alt=\"\" class=\"wp-image-8650\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"499\" height=\"508\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.37.54.png\" alt=\"\" class=\"wp-image-8650\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.37.54.png 499w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.37.54-295x300.png 295w\" sizes=\"auto, (max-width: 499px) 100vw, 499px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">2. SUBESPACIOS<\/h4>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.38.33.png\" alt=\"\" class=\"wp-image-8651\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"604\" height=\"211\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.38.33.png\" alt=\"\" class=\"wp-image-8651\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.38.33.png 604w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.38.33-300x105.png 300w\" sizes=\"auto, (max-width: 604px) 100vw, 604px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.39.26.png\" alt=\"\" class=\"wp-image-8652\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"613\" height=\"242\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.39.26.png\" alt=\"\" class=\"wp-image-8652\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.39.26.png 613w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.39.26-300x118.png 300w\" sizes=\"auto, (max-width: 613px) 100vw, 613px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Si se agrupan todos los vectores en V que son expresables como combinaciones lineales de v1, v2, \u2026 vr entonces se obtiene un subespacio de V. Este subespacio se denomina espacio lineal generado por {v1,v2, \u2026, vr} o espacio generado por {v1,v2, \u2026, vr}.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.39.56.png\" alt=\"\" class=\"wp-image-8653\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"605\" height=\"137\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.39.56.png\" alt=\"\" class=\"wp-image-8653\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.39.56.png 605w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.39.56-300x68.png 300w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">3. INDEPENDENCIA LINEAL<\/h4>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.40.36.png\" alt=\"\" class=\"wp-image-8654\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"582\" height=\"166\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.40.36.png\" alt=\"\" class=\"wp-image-8654\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.40.36.png 582w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.40.36-300x86.png 300w\" sizes=\"auto, (max-width: 582px) 100vw, 582px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Si esta es la \u00fanica soluci\u00f3n, entonces S recibe el nombre de conjunto linealmente independiente. Si hay otras soluciones entonces se dice que S es un conjunto linealmente dependiente.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.41.09.png\" alt=\"\" class=\"wp-image-8655\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"592\" height=\"51\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.41.09.png\" alt=\"\" class=\"wp-image-8655\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.41.09.png 592w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.41.09-300x26.png 300w\" sizes=\"auto, (max-width: 592px) 100vw, 592px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">4. BASE Y DIMENSI\u00d3N<\/h4>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.41.47.png\" alt=\"\" class=\"wp-image-8656\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"591\" height=\"145\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.41.47.png\" alt=\"\" class=\"wp-image-8656\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.41.47.png 591w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.41.47-300x74.png 300w\" sizes=\"auto, (max-width: 591px) 100vw, 591px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Un espacio vectorial diferente de cero V es de dimensi\u00f3n finita si contiene un conjunto finito de vectores {v1, v2, \u2026, vn} que forma una base. Si no existe un conjunto de este tipo, se dice que V es de dimensi\u00f3n infinita. El espacio vectorial cero se considera como de dimensi\u00f3n finita, aun cuando no tiene conjuntos linealmente independientes, y como consecuencia no tiene base.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.42.40.png\" alt=\"\" class=\"wp-image-8657\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"558\" height=\"451\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.42.40.png\" alt=\"\" class=\"wp-image-8657\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.42.40.png 558w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.42.40-300x242.png 300w\" sizes=\"auto, (max-width: 558px) 100vw, 558px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">5. ESPACIO DE RENGLONES Y COLUMNAS DE UNA MATRIZ<\/h4>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.44.04.png\" alt=\"\" class=\"wp-image-8658\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"573\" height=\"767\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.44.04.png\" alt=\"\" class=\"wp-image-8658\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.44.04.png 573w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.44.04-224x300.png 224w\" sizes=\"auto, (max-width: 573px) 100vw, 573px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.45.01.png\" alt=\"\" class=\"wp-image-8659\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"571\" height=\"259\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.45.01.png\" alt=\"\" class=\"wp-image-8659\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.45.01.png 571w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.45.01-300x136.png 300w\" sizes=\"auto, (max-width: 571px) 100vw, 571px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">6. ESPACIOS DE PRODUCTOS INTERIORES<\/h4>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.45.31.png\" alt=\"\" class=\"wp-image-8660\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"552\" height=\"186\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.45.31.png\" alt=\"\" class=\"wp-image-8660\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.45.31.png 552w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.45.31-300x101.png 300w\" sizes=\"auto, (max-width: 552px) 100vw, 552px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Un espacio vectorial con un producto interior se conoce como espacio de productos interiores.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.46.08.png\" alt=\"\" class=\"wp-image-8661\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"529\" height=\"227\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.46.08.png\" alt=\"\" class=\"wp-image-8661\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.46.08.png 529w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.46.08-300x129.png 300w\" sizes=\"auto, (max-width: 529px) 100vw, 529px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">7. LONGITUD Y \u00c1NGULO EN LOS ESPACIOS DE PRODUCTOS INTERIORES<\/h4>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.47.02.png\" alt=\"\" class=\"wp-image-8662\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"521\" height=\"714\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.47.02.png\" alt=\"\" class=\"wp-image-8662\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.47.02.png 521w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.47.02-219x300.png 219w\" sizes=\"auto, (max-width: 521px) 100vw, 521px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">8. BASES ORTONORMALES<\/h4>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.47.57.png\" alt=\"\" class=\"wp-image-8663\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"597\" height=\"690\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.47.57.png\" alt=\"\" class=\"wp-image-8663\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.47.57.png 597w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.47.57-260x300.png 260w\" sizes=\"auto, (max-width: 597px) 100vw, 597px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.48.38.png\" alt=\"\" class=\"wp-image-8664\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"479\" height=\"759\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.48.38.png\" alt=\"\" class=\"wp-image-8664\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.48.38.png 479w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.48.38-189x300.png 189w\" sizes=\"auto, (max-width: 479px) 100vw, 479px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">9. COORDENADAS; CAMBIO DE BASE<\/h4>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.51.15.png\" alt=\"\" class=\"wp-image-8665\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"452\" height=\"827\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.51.15.png\" alt=\"\" class=\"wp-image-8665\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.51.15.png 452w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.51.15-164x300.png 164w\" sizes=\"auto, (max-width: 452px) 100vw, 452px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.51.33.png\" alt=\"\" class=\"wp-image-8666\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"561\" height=\"143\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.51.33.png\" alt=\"\" class=\"wp-image-8666\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.51.33.png 561w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.51.33-300x76.png 300w\" sizes=\"auto, (max-width: 561px) 100vw, 561px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Elementos procedimentales (saber hacer)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo:<\/strong> Sobre permutaciones.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.52.03.png\" alt=\"\" class=\"wp-image-8667\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"474\" height=\"98\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.52.03.png\" alt=\"\" class=\"wp-image-8667\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.52.03.png 474w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.52.03-300x62.png 300w\" sizes=\"auto, (max-width: 474px) 100vw, 474px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo:<\/strong> Sobre inversiones.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.52.27.png\" alt=\"\" class=\"wp-image-8668\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"505\" height=\"139\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.52.27.png\" alt=\"\" class=\"wp-image-8668\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.52.27.png 505w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.52.27-300x83.png 300w\" sizes=\"auto, (max-width: 505px) 100vw, 505px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo<\/strong>: Clasificaci\u00f3n de permutaciones por n\u00famero de inversiones.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.52.51.png\" alt=\"\" class=\"wp-image-8669\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"440\" height=\"171\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.52.51.png\" alt=\"\" class=\"wp-image-8669\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.52.51.png 440w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.52.51-300x117.png 300w\" sizes=\"auto, (max-width: 440px) 100vw, 440px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo<\/strong>: Productos elementales.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.53.21.png\" alt=\"\" class=\"wp-image-8670\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"385\" height=\"826\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.53.21.png\" alt=\"\" class=\"wp-image-8670\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.53.21.png 385w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.53.21-140x300.png 140w\" sizes=\"auto, (max-width: 385px) 100vw, 385px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Para evaluar el det(A)<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.55.59.png\" alt=\"\" class=\"wp-image-8671\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"312\" height=\"306\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.55.59.png\" alt=\"\" class=\"wp-image-8671\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.55.59.png 312w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.55.59-300x294.png 300w\" sizes=\"auto, (max-width: 312px) 100vw, 312px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo:<\/strong> Considerando las matrices<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.56.49.png\" alt=\"\" class=\"wp-image-8672\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"371\" height=\"144\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.56.49.png\" alt=\"\" class=\"wp-image-8672\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.56.49.png 371w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.56.49-300x116.png 300w\" sizes=\"auto, (max-width: 371px) 100vw, 371px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Y evaluando sus determinantes<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.57.22.png\" alt=\"\" class=\"wp-image-8673\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"438\" height=\"42\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.57.22.png\" alt=\"\" class=\"wp-image-8673\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.57.22.png 438w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.57.22-300x29.png 300w\" sizes=\"auto, (max-width: 438px) 100vw, 438px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Obtenemos que<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.57.53.png\" alt=\"\" class=\"wp-image-8674\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"554\" height=\"36\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.57.53.png\" alt=\"\" class=\"wp-image-8674\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.57.53.png 554w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.57.53-300x19.png 300w\" sizes=\"auto, (max-width: 554px) 100vw, 554px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo:&nbsp;<\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.58.20.png\" alt=\"\" class=\"wp-image-8675\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"450\" height=\"152\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.58.20.png\" alt=\"\" class=\"wp-image-8675\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.58.20.png 450w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.58.20-300x101.png 300w\" sizes=\"auto, (max-width: 450px) 100vw, 450px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Al reducir a la forma escalonada en los renglones<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.58.46.png\" alt=\"\" class=\"wp-image-8676\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"434\" height=\"337\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.58.46.png\" alt=\"\" class=\"wp-image-8676\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.58.46.png 434w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.58.46-300x233.png 300w\" sizes=\"auto, (max-width: 434px) 100vw, 434px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo:<\/strong> Sobre transpuestas de matrices<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.59.12.png\" alt=\"\" class=\"wp-image-8677\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"382\" height=\"315\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.59.12.png\" alt=\"\" class=\"wp-image-8677\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.59.12.png 382w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.59.12-300x247.png 300w\" sizes=\"auto, (max-width: 382px) 100vw, 382px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo<\/strong>: Consid\u00e9rese las matrices<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.59.48.png\" alt=\"\" class=\"wp-image-8678\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"354\" height=\"69\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.59.48.png\" alt=\"\" class=\"wp-image-8678\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.59.48.png 354w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-11.59.48-300x58.png 300w\" sizes=\"auto, (max-width: 354px) 100vw, 354px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">El det(A)=4 y det(5A)=100 ya que det(A)=5<sup>2<\/sup> det(A).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo<\/strong>: Menores y cofactores.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.00.26.png\" alt=\"\" class=\"wp-image-8679\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"479\" height=\"537\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.00.26.png\" alt=\"\" class=\"wp-image-8679\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.00.26.png 479w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.00.26-268x300.png 268w\" sizes=\"auto, (max-width: 479px) 100vw, 479px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Ejemplos de espacios vectoriales<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ejemplo:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.01.20.png\" alt=\"\" class=\"wp-image-8680\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"431\" height=\"144\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.01.20.png\" alt=\"\" class=\"wp-image-8680\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.01.20.png 431w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.01.20-300x100.png 300w\" sizes=\"auto, (max-width: 431px) 100vw, 431px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Ejemplo:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.01.40.png\" alt=\"\" class=\"wp-image-8681\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"366\" height=\"125\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.01.40.png\" alt=\"\" class=\"wp-image-8681\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.01.40.png 366w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.01.40-300x102.png 300w\" sizes=\"auto, (max-width: 366px) 100vw, 366px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Ejemplo:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.02.26.png\" alt=\"\" class=\"wp-image-8682\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"375\" height=\"213\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.02.26.png\" alt=\"\" class=\"wp-image-8682\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.02.26.png 375w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.02.26-300x170.png 300w\" sizes=\"auto, (max-width: 375px) 100vw, 375px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Ejemplo:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.02.46.png\" alt=\"\" class=\"wp-image-8683\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"61\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.02.46.png\" alt=\"\" class=\"wp-image-8683\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.02.46.png 500w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.02.46-300x37.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Ejemplo: Combinaci\u00f3n lineal.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.03.14.png\" alt=\"\" class=\"wp-image-8684\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"327\" height=\"391\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.03.14.png\" alt=\"\" class=\"wp-image-8684\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.03.14.png 327w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.03.14-251x300.png 251w\" sizes=\"auto, (max-width: 327px) 100vw, 327px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Ejemplo: Generaci\u00f3n de espacio.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.03.34.png\" alt=\"\" class=\"wp-image-8685\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"324\" height=\"371\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.03.34.png\" alt=\"\" class=\"wp-image-8685\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.03.34.png 324w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.03.34-262x300.png 262w\" sizes=\"auto, (max-width: 324px) 100vw, 324px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Ejemplo: Independencia lineal.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.04.40.png\" alt=\"\" class=\"wp-image-8686\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"619\" height=\"55\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.04.40.png\" alt=\"\" class=\"wp-image-8686\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.04.40.png 619w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.04.40-300x27.png 300w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Ejemplo: Independencia lineal.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.05.06.png\" alt=\"\" class=\"wp-image-8687\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"428\" height=\"441\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.05.06.png\" alt=\"\" class=\"wp-image-8687\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.05.06.png 428w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.05.06-291x300.png 291w\" sizes=\"auto, (max-width: 428px) 100vw, 428px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Ejemplo: Base y dimensi\u00f3n.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.05.48.png\" alt=\"\" class=\"wp-image-8688\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"570\" height=\"834\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.05.48.png\" alt=\"\" class=\"wp-image-8688\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.05.48.png 570w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.05.48-205x300.png 205w\" sizes=\"auto, (max-width: 570px) 100vw, 570px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Se concluye que A es inversible y S es una base para R<sup>3<\/sup>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ejemplo:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.06.18.png\" alt=\"\" class=\"wp-image-8689\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"464\" height=\"490\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.06.18.png\" alt=\"\" class=\"wp-image-8689\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.06.18.png 464w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.06.18-284x300.png 284w\" sizes=\"auto, (max-width: 464px) 100vw, 464px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Ejemplo:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.06.43.png\" alt=\"\" class=\"wp-image-8690\" width=\"572\" height=\"105\" \/><noscript><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.06.43.png\" alt=\"\" class=\"wp-image-8690\" width=\"572\" height=\"105\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.06.43.png 572w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.06.43-300x55.png 300w\" sizes=\"auto, (max-width: 572px) 100vw, 572px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Ejemplo: Base.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Encu\u00e9ntrese una base para el espacio generado por los vectores:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.07.09.png\" alt=\"\" class=\"wp-image-8691\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"457\" height=\"385\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.07.09.png\" alt=\"\" class=\"wp-image-8691\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.07.09.png 457w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.07.09-300x253.png 300w\" sizes=\"auto, (max-width: 457px) 100vw, 457px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Ejemplo: Espacio de productos interiores.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.07.28.png\" alt=\"\" class=\"wp-image-8692\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"438\" height=\"271\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.07.28.png\" alt=\"\" class=\"wp-image-8692\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.07.28.png 438w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.07.28-300x186.png 300w\" sizes=\"auto, (max-width: 438px) 100vw, 438px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Ejemplo: \u00c1ngulo entre vectores.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.08.13.png\" alt=\"\" class=\"wp-image-8693\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"365\" height=\"229\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.08.13.png\" alt=\"\" class=\"wp-image-8693\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.08.13.png 365w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.08.13-300x188.png 300w\" sizes=\"auto, (max-width: 365px) 100vw, 365px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Ejemplo: Ortonormalidad.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.09.10.png\" alt=\"\" class=\"wp-image-8694\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"539\" height=\"245\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.09.10.png\" alt=\"\" class=\"wp-image-8694\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.09.10.png 539w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.09.10-300x136.png 300w\" sizes=\"auto, (max-width: 539px) 100vw, 539px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Ejemplo:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.09.32.png\" alt=\"\" class=\"wp-image-8695\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"434\" height=\"344\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.09.32.png\" alt=\"\" class=\"wp-image-8695\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.09.32.png 434w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.09.32-300x238.png 300w\" sizes=\"auto, (max-width: 434px) 100vw, 434px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.10.08.png\" alt=\"\" class=\"wp-image-8696\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"408\" height=\"832\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.10.08.png\" alt=\"\" class=\"wp-image-8696\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.10.08.png 408w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Captura-de-Pantalla-2022-03-01-a-las-12.10.08-147x300.png 147w\" sizes=\"auto, (max-width: 408px) 100vw, 408px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Te invito a que revises los siguientes recursos digitales:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/03\/Espacios-vectoriales.pdf\">Espacios vectoriales<\/a><\/li><li><a href=\"https:\/\/youtu.be\/R31v8HrvsnA\">Combinaciones lineales y espacios vectoriales generados<\/a><\/li><li><a href=\"https:\/\/youtu.be\/cOSh0SeMFHE\">Espacios vectoriales generados y ejemplos de independencia lineal<\/a><\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"conclusion\">Conclusi\u00f3n <\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">En conclusi\u00f3n, en esta clase&nbsp; se vieron los conceptos de determinantes, propiedades de los determinantes, c\u00f3mo evaluar los determinantes y obtenci\u00f3n de la inversa a trav\u00e9s del uso de los menores y m\u00e9todo de cofactores. En la segunda parte de esta clase se trataron los espacios y subespacios vectoriales, la independencia lineal, el concepto de base y dimensi\u00f3n y el proceso Gram-Schmidt. Vimos la parte te\u00f3rica y algunos ejemplos que deber\u00e1s complementar con tu propia investigaci\u00f3n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Es as\u00ed como concluimos nuestra clase. \u00a1Vas avanzando muy bien, te felicito! No olvides que para concluir la sesi\u00f3n debes hacer la tarea asignada y enviarla correctamente. Te encuentro en la siguiente clase, hasta luego.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"fuentes-de-informacion\">Fuentes de informaci\u00f3n<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li>Howard, A. (1994). Introducci\u00f3n al \u00e1lgebra lineal. (3a ed.). limusa.<\/li><li>Stanley, I., Grossman, S., &amp; Flores Godoy, J. J. (2019). \u00c1lgebra Lineal. (8\u00aa ed.). McGraw-Hill Interamericana.<\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Introducci\u00f3n \u00a1Hola! Es un gusto encontrarte nuevamente, espero que est\u00e9s aprendiendo mucho, sobre todo, que tu \u00e1nimo no decaiga y sigas conociendo m\u00e1s acerca de los temas que se te presentan. Por lo tanto te invito a continuar en esta clase denominada DETERMINANTES el cual se dividir\u00e1 en 4 clases que abordar\u00e1n las siguientes tem\u00e1ticas:&nbsp; &#8230; <a title=\"Clase digital 2. Determinantes\" class=\"read-more\" href=\"https:\/\/blogs.ugto.mx\/rea\/clase-digital-2-determinantes\/\" aria-label=\"Leer m\u00e1s sobre Clase digital 2. Determinantes\">Leer m\u00e1s<\/a><\/p>\n","protected":false},"author":142,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_crdt_document":"","episode_type":"","audio_file":"","podmotor_file_id":"","podmotor_episode_id":"","cover_image":"","cover_image_id":"","duration":"","filesize":"","filesize_raw":"","date_recorded":"","explicit":"","block":"","itunes_episode_number":"","itunes_title":"","itunes_season_number":"","itunes_episode_type":"","footnotes":""},"categories":[238,266],"tags":[268,41,267],"class_list":["post-8640","post","type-post","status-publish","format-standard","hentry","category-licenciatura-en-ingenieria-quimica","category-uda-algebra-lineal-licenciatura-en-ingenieria-quimica","tag-carlos-alanias-rodriguez-rico","tag-clase-digital","tag-neli04035-1"],"acf":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/8640","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/users\/142"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/comments?post=8640"}],"version-history":[{"count":3,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/8640\/revisions"}],"predecessor-version":[{"id":8934,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/8640\/revisions\/8934"}],"wp:attachment":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/media?parent=8640"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/categories?post=8640"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/tags?post=8640"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}