{"id":922,"date":"2021-11-27T22:48:57","date_gmt":"2021-11-27T22:48:57","guid":{"rendered":"https:\/\/blogs.ugto.mx\/rea\/?p=922"},"modified":"2022-02-08T20:46:04","modified_gmt":"2022-02-08T20:46:04","slug":"clase-digital-17-transformacion-lineal","status":"publish","type":"post","link":"https:\/\/blogs.ugto.mx\/rea\/clase-digital-17-transformacion-lineal\/","title":{"rendered":"Clase digital 17: Transformaci\u00f3n lineal"},"content":{"rendered":"\n\n\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-923\" alt=\"\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/urbd5kkvgmu.jpg\" style=\"object-position:62% 46%\" data-object-fit=\"cover\" data-object-position=\"62% 46%\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1600\" height=\"1200\" class=\"wp-block-cover__image-background wp-image-923\" alt=\"\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/urbd5kkvgmu.jpg\" style=\"object-position:62% 46%\" data-object-fit=\"cover\" data-object-position=\"62% 46%\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/urbd5kkvgmu.jpg 1600w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/urbd5kkvgmu-300x225.jpg 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/urbd5kkvgmu-1024x768.jpg 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/urbd5kkvgmu-768x576.jpg 768w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/urbd5kkvgmu-1536x1152.jpg 1536w\" 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\">Transformaci\u00f3n lineal<\/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 una alegr\u00eda encontrarnos en este espacio formativo, espero que sigas gozando de buena salud y de un excelente \u00e1nimo pues te ayudar\u00e1n bastante para completar este curso que ya est\u00e1 entrando a su etapa final; por lo tanto te invito a tu clase 17 titulada Transformaci\u00f3n lineal del curso <strong>\u00c1lgebra lineal.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">En esta sesi\u00f3n se definir\u00e1 una herramienta denominada transformaci\u00f3n lineal junto con sus propiedades que est\u00e1n referidas a la multiplicaci\u00f3n de un escalar y a la suma de transformaciones lineales.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sin m\u00e1s que agregar, te invito a empezar la clase.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"desarrollo-del-tema\">Desarrollo del tema <\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li>Una <strong>Transformaci\u00f3n Lineal (T) <\/strong>es una funci\u00f3n que convierte a un espacio vectorial en otro. Se representa con la letra T.&nbsp;<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"propiedades\">Propiedades:<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>Si tomas un vector (u) y lo sumas a otro vector (v), del mismo espacio vectorial y luego le aplicas la transformaci\u00f3n lineal (T), es lo mismo que aplicarles la transformaci\u00f3n a cada una y luego sumarlos:<\/li><\/ul>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>T(u+v) = T(u) + T(v)<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Ocurre lo mismo con la multiplicaci\u00f3n por escalar:<\/li><\/ul>\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\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.11.01.png\" alt=\"\" class=\"wp-image-924\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"654\" height=\"396\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.11.01.png\" alt=\"\" class=\"wp-image-924\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.11.01.png 654w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.11.01-300x182.png 300w\" sizes=\"auto, (max-width: 654px) 100vw, 654px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo 1:<\/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\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.11.37.png\" alt=\"\" class=\"wp-image-925\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"707\" height=\"252\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.11.37.png\" alt=\"\" class=\"wp-image-925\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.11.37.png 707w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.11.37-300x107.png 300w\" sizes=\"auto, (max-width: 707px) 100vw, 707px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo 2:<\/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\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.12.06.png\" alt=\"\" class=\"wp-image-926\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"696\" height=\"263\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.12.06.png\" alt=\"\" class=\"wp-image-926\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.12.06.png 696w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.12.06-300x113.png 300w\" sizes=\"auto, (max-width: 696px) 100vw, 696px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo 3<\/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\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.12.38.png\" alt=\"\" class=\"wp-image-927\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"653\" height=\"257\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.12.38.png\" alt=\"\" class=\"wp-image-927\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.12.38.png 653w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.12.38-300x118.png 300w\" sizes=\"auto, (max-width: 653px) 100vw, 653px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"conclusion\">Conclusi\u00f3n <\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">En resumen:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Una <strong>Transformaci\u00f3n Lineal (T) <\/strong>es una funci\u00f3n que convierte a un espacio vectorial en otro. Se representa con la letra T.&nbsp;<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Sus propiedades son:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Si tomas un vector (u) y lo sumas a otro vector (v), del mismo espacio vectorial y luego le aplicas la transformaci\u00f3n lineal (T), es lo mismo que aplicarles la transformaci\u00f3n a cada una y luego sumarlos:<\/li><\/ul>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>T(u+v) = T(u) + T(v)<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Ocurre lo mismo con la multiplicaci\u00f3n por escalar:<\/li><\/ul>\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\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.13.29.png\" alt=\"\" class=\"wp-image-928\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"229\" height=\"44\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.13.29.png\" alt=\"\" class=\"wp-image-928\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Hemos concluido la clase y como puedes notar has avanzado mucho durante el trayecto del curso \u00a1Muchas felicidades! Te invito a repasar los temas y conceptos revisados y la realizaci\u00f3n de las consignas para que se pueda alcanzar el aprendizaje esperado en esta clase. Te encuentro en tu \u00faltima clase.<\/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>Grossman, S. I. (2004). Algebra Lineal y sus Aplicaciones. (5<sup>a<\/sup> ed.). M\u00e9xico: McGraw-Hill.<\/li><li>Anton, H. (2011). Introducci\u00f3n al Algebra Lineal. (5<sup>a<\/sup> ed.). M\u00e9xico: Limusa Wiley.<\/li><li>Campbell, H. G. (1980). Linear Algebra with Applications. Atlanta: Prentice-Hall.<\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Introducci\u00f3n \u00a1Hola! Es una alegr\u00eda encontrarnos en este espacio formativo, espero que sigas gozando de buena salud y de un excelente \u00e1nimo pues te ayudar\u00e1n bastante para completar este curso que ya est\u00e1 entrando a su etapa final; por lo tanto te invito a tu clase 17 titulada Transformaci\u00f3n lineal del curso \u00c1lgebra lineal. En &#8230; <a title=\"Clase digital 17: Transformaci\u00f3n lineal\" class=\"read-more\" href=\"https:\/\/blogs.ugto.mx\/rea\/clase-digital-17-transformacion-lineal\/\" aria-label=\"Leer m\u00e1s sobre Clase digital 17: Transformaci\u00f3n lineal\">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":[10,11],"tags":[41,61,62],"class_list":["post-922","post","type-post","status-publish","format-standard","hentry","category-ingenieria-civil","category-uda-algebra-lineal","tag-clase-digital","tag-jorge-arturo-gutierrez-camarena","tag-neli04035"],"acf":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/922","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=922"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/922\/revisions"}],"predecessor-version":[{"id":7297,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/922\/revisions\/7297"}],"wp:attachment":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/media?parent=922"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/categories?post=922"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/tags?post=922"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}