{"id":7319,"date":"2019-09-18T21:06:40","date_gmt":"2019-09-19T02:06:40","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1003\/?p=7319"},"modified":"2019-09-18T21:06:40","modified_gmt":"2019-09-19T02:06:40","slug":"2019-2020-termino-1-e3-tema-5","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/matg1049\/2019-2020-termino-1-e3-tema-5\/","title":{"rendered":"Tema 5"},"content":{"rendered":"<div class='dropshadowboxes-container ' style='width:auto;'>\r\n                            <div class='dropshadowboxes-drop-shadow dropshadowboxes-rounded-corners dropshadowboxes-inside-and-outside-shadow dropshadowboxes-lifted-bottom-left dropshadowboxes-effect-default' style=' border: 1px solid #dddddd; height:; background-color:#ffffff;    '>\r\n                            Examen | 2019-2020 | T\u00e9rmino 1 | Tercera Evaluaci\u00f3n | Tema 5\r\n                            <\/div>\r\n                        <\/div>\n<hr \/>\n<p style=\"text-align: justify\">Sea <span class=\"wp-katex-eq\" data-display=\"false\">T:V\\longrightarrow U<\/span> una transformaci\u00f3n lineal entre los espacios vectoriales <span class=\"wp-katex-eq\" data-display=\"false\">V<\/span> y <span class=\"wp-katex-eq\" data-display=\"false\">U<\/span>. Suponga que <span class=\"wp-katex-eq\" data-display=\"false\">V<\/span> es de dimensi\u00f3n finita y que <span class=\"wp-katex-eq\" data-display=\"false\">T<\/span> no es inyectiva. Demuestre que <span class=\"wp-katex-eq\" data-display=\"false\">dim(V)<\/span> es igual a la suma de las dimensiones de la imagen de <span class=\"wp-katex-eq\" data-display=\"false\">T<\/span> y la dimensi\u00f3n de su n\u00facleo. Esto es, <span class=\"wp-katex-eq\" data-display=\"false\">dim(V)=dim(Imagen(T))+dim(Ker(T))<\/span>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Sea una transformaci\u00f3n lineal entre los espacios vectoriales y . Suponga que es de dimensi\u00f3n finita y que no es inyectiva. Demuestre que es igual a la suma de las dimensiones de la imagen de y la dimensi\u00f3n de su n\u00facleo. Esto es, .<\/p>\n","protected":false},"author":609,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[1430164],"tags":[],"class_list":["post-7319","post","type-post","status-publish","format-standard","hentry","category-tercera-evaluacion-termino-1-2019-2020"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/posts\/7319","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/users\/609"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/comments?post=7319"}],"version-history":[{"count":0,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/posts\/7319\/revisions"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/media?parent=7319"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/categories?post=7319"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/tags?post=7319"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}