{"id":906,"date":"2021-11-27T22:48:40","date_gmt":"2021-11-27T22:48:40","guid":{"rendered":"https:\/\/blogs.ugto.mx\/rea\/?p=906"},"modified":"2022-02-08T20:45:59","modified_gmt":"2022-02-08T20:45:59","slug":"clase-digital-16-bases","status":"publish","type":"post","link":"https:\/\/blogs.ugto.mx\/rea\/clase-digital-16-bases\/","title":{"rendered":"Clase digital 16: Bases"},"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-907\" alt=\"\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/o3xumgbzzli.jpg\" style=\"object-position:48% 66%\" data-object-fit=\"cover\" data-object-position=\"48% 66%\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1600\" height=\"1200\" class=\"wp-block-cover__image-background wp-image-907\" alt=\"\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/o3xumgbzzli.jpg\" style=\"object-position:48% 66%\" data-object-fit=\"cover\" data-object-position=\"48% 66%\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/o3xumgbzzli.jpg 1600w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/o3xumgbzzli-300x225.jpg 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/o3xumgbzzli-1024x768.jpg 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/o3xumgbzzli-768x576.jpg 768w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/o3xumgbzzli-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\">Bases<\/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 muy grato tenerte como estudiante en este curso, para mi es un gran honor encontrarme con personas tan disciplinadas y comprometidas con su educaci\u00f3n como lo eres t\u00fa \u00a1Te felicito!&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Volviendo al tema de las clases, te invito a proseguir con esta nueva sesi\u00f3n n\u00famero 16 titulada Bases del curso <strong>\u00c1lgebra Lineal.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Para esta sesi\u00f3n ser\u00e1 necesario recordar sobre los conceptos de dependencia o independencia lineal que vimos en el tema de combinaciones lineales, as\u00ed como el de conjuntos generadores.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Veremos que una base nos permitir\u00e1 definir un gran n\u00famero de vectores dentro de un espacio vectorial y que a diferencia de un conjunto generador, estos son m\u00e1s limitados en n\u00famero.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Dicho lo anterior, continuemos nuestra clase. \u00a1\u00c1nimo!<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"desarrollo-del-tema\">Desarrollo del tema <\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Se dice que un conjunto de vectores es <strong>linealmente independiente<\/strong>, si ninguno de sus vectores se puede representar como combinaci\u00f3n lineal de otro.<\/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-13.59.59.png\" alt=\"\" class=\"wp-image-909\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"768\" height=\"497\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-13.59.59.png\" alt=\"\" class=\"wp-image-909\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-13.59.59.png 768w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-13.59.59-300x194.png 300w\" sizes=\"auto, (max-width: 768px) 100vw, 768px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Las bases son <strong>conjuntos generadores<\/strong>, cuyos vectores son <strong>linealmente independientes<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo<\/strong>: <\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Siempre que tengamos tres vectores (3&#215;1) linealmente independientes, obtendremos una BASE del espacio vectorial R<sup>3<\/sup> (tambi\u00e9n dicho espacio R3).<\/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-14.01.44.png\" alt=\"\" class=\"wp-image-911\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"775\" height=\"170\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.01.44.png\" alt=\"\" class=\"wp-image-911\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.01.44.png 775w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.01.44-300x66.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.01.44-768x168.png 768w\" sizes=\"auto, (max-width: 775px) 100vw, 775px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<ul class=\"wp-block-list\"><li>Siempre que tengamos DOS vectores (2&#215;1) linealmente independientes, obtendremos una BASE del espacio vectorial R<sup>2<\/sup> (tambi\u00e9n dicho espacio R2).<\/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-14.02.20.png\" alt=\"\" class=\"wp-image-912\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"771\" height=\"181\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.02.20.png\" alt=\"\" class=\"wp-image-912\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.02.20.png 771w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.02.20-300x70.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.02.20-768x180.png 768w\" sizes=\"auto, (max-width: 771px) 100vw, 771px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"subespacios-vectoriales\">Subespacios vectoriales:<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>Las ecuaciones de rectas que pasan por el origen (como <strong>x-y=0<\/strong>) son <strong>subespacios vectoriales <\/strong>de R<sup>2<\/sup>.<\/li><li>Si observamos, tenemos 1 ecuaci\u00f3n con 2 inc\u00f3gnitas, por lo que <strong>existen infinidad de soluciones<\/strong>.<\/li><li>Sin embargo, las soluciones de X-Y = 0, no son de cualquier tipo, es decir, si asignamos el valor de X = 1, forzosamente, la Y vale 1; si X valiera 2, Y valdr\u00eda 2; y as\u00ed desde el menos infinito hasta el infinito positivo.&nbsp;<\/li><li>Cada par de respuestas es un vector, por ejemplo: (1,1), (2,2), \u2026<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"conjunto-generador\">Conjunto generador:<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>Para no tener que anotar TODAS las respuestas posibles de la ecuaci\u00f3n <strong>X-Y=0<\/strong>, que llamaremos espacio vectorial H, donde sus soluciones son (-1,-1),\u2026, (1,1), (2,2), \u2026, observemos que podemos tomar un vector cualquiera como (1,1) y si ese lo multiplicamos por un escalar nos dar\u00e1 las otras respuestas de la ecuaci\u00f3n.&nbsp;<\/li><li>Por ello decimos que H = gen{(1,1)}, que ser\u00eda igualmente v\u00e1lido a H = gen{(2, 2)} = gen{(3,3)}, etc. Es decir {(1,1)} es un conjunto generador de X-Y=0.<\/li><li>Como en el espacio vectorial H, que es <strong>X-Y=0,<\/strong> no existe otra respuesta posible fuera de conjunto generador <strong>H=gen{(1,1)} <\/strong>(o sus equivalentes <em>H=gen{(1,1)} = gen{(2,2)} = gen{(143,143)}, <\/em>etc.), entonces se dice que <strong>(1,1) <\/strong>es su <strong>BASE<\/strong>.&nbsp;<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"dimension\">Dimensi\u00f3n:<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>Es el n\u00famero de vectores que tiene una base.&nbsp;<\/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-14.03.34.png\" alt=\"\" class=\"wp-image-915\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"743\" height=\"186\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.03.34.png\" alt=\"\" class=\"wp-image-915\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.03.34.png 743w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.03.34-300x75.png 300w\" sizes=\"auto, (max-width: 743px) 100vw, 743px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"base-canonica\">Base can\u00f3nica:<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>Es una <strong>base<\/strong> cuadrada (mismo n\u00famero de componentes y de vectores), que se puede arreglar como una <strong>matriz identidad<\/strong>.&nbsp;<\/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-14.04.16.png\" alt=\"\" class=\"wp-image-916\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"439\" height=\"214\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.04.16.png\" alt=\"\" class=\"wp-image-916\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.04.16.png 439w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.04.16-300x146.png 300w\" sizes=\"auto, (max-width: 439px) 100vw, 439px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<ul class=\"wp-block-list\"><li>Es una <strong>base<\/strong> cuadrada (mismo n\u00famero de componentes y de vectores), que se puede arreglar como una <strong>matriz identidad<\/strong>.<\/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-14.04.46.png\" alt=\"\" class=\"wp-image-918\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"430\" height=\"216\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.04.46.png\" alt=\"\" class=\"wp-image-918\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.04.46.png 430w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.04.46-300x151.png 300w\" sizes=\"auto, (max-width: 430px) 100vw, 430px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>NOTAS<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Si hay m\u00e1s vectores que el n\u00famero de componentes de cada vector, entonces forzosamente el conjunto ser\u00e1 linealmente dependiente y <strong>NO PUEDE SER BASE<\/strong>.&nbsp;<\/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-14.05.16.png\" alt=\"\" class=\"wp-image-919\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"763\" height=\"232\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.05.16.png\" alt=\"\" class=\"wp-image-919\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.05.16.png 763w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.05.16-300x91.png 300w\" sizes=\"auto, (max-width: 763px) 100vw, 763px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Si el n\u00famero de vectores es igual que el n\u00famero de componentes de cada vector, podemos obtener su <strong>determinante.<\/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-14.05.43.png\" alt=\"\" class=\"wp-image-920\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"727\" height=\"214\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.05.43.png\" alt=\"\" class=\"wp-image-920\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.05.43.png 727w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2021\/11\/Captura-de-Pantalla-2021-11-09-a-las-14.05.43-300x88.png 300w\" sizes=\"auto, (max-width: 727px) 100vw, 727px\" \/><\/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\">Para concluir la clase decimos que:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Las bases son <strong>conjuntos generadores<\/strong>, cuyos vectores son <strong>linealmente independientes<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hemos llegado al final de la sesi\u00f3n y me parece que vas sobre pasos muy seguros hacia el \u00e9xito. \u00a1Te felicito! No olvides la tarea asignada a esta clase, recuerda que es tu evidencia de aprendizaje, m\u00e1ndala como corresponde. Nos encontramos en la siguiente 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 muy grato tenerte como estudiante en este curso, para mi es un gran honor encontrarme con personas tan disciplinadas y comprometidas con su educaci\u00f3n como lo eres t\u00fa \u00a1Te felicito!&nbsp; Volviendo al tema de las clases, te invito a proseguir con esta nueva sesi\u00f3n n\u00famero 16 titulada Bases del curso \u00c1lgebra Lineal. &#8230; <a title=\"Clase digital 16: Bases\" class=\"read-more\" href=\"https:\/\/blogs.ugto.mx\/rea\/clase-digital-16-bases\/\" aria-label=\"Leer m\u00e1s sobre Clase digital 16: Bases\">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-906","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\/906","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=906"}],"version-history":[{"count":3,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/906\/revisions"}],"predecessor-version":[{"id":7296,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/906\/revisions\/7296"}],"wp:attachment":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/media?parent=906"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/categories?post=906"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/tags?post=906"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}