{"id":7885,"date":"2020-02-19T00:47:36","date_gmt":"2020-02-19T05:47:36","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1003\/?p=7885"},"modified":"2020-03-18T17:57:24","modified_gmt":"2020-03-18T22:57:24","slug":"2019-2020-termino-2-e3-tema-5","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/matg1003\/2019-2020-termino-2-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 2 | Tercera Evaluaci\u00f3n | Tema 5\r\n                            <\/div>\r\n                        <\/div>\n<hr \/>\n<p style=\"text-align: justify\">A continuaci\u00f3n, se presentan dos enunciados que son verdaderos, seleccione uno de ellos y demu\u00e9strelo.<\/p>\n<table style=\"border: none\">\n<tbody>\n<tr>\n<td style=\"text-align: justify;border: none\" width=\"6%\">a)<\/td>\n<td style=\"text-align: justify;border: none\" width=\"94%\">Sea <span class=\"wp-katex-eq\" data-display=\"false\">V<\/span> un espacio vectorial sobre un campo <span class=\"wp-katex-eq\" data-display=\"false\">\\mathbb{K}<\/span> y sea <span class=\"wp-katex-eq\" data-display=\"false\">D<\/span> un subconjunto de <span class=\"wp-katex-eq\" data-display=\"false\">V<\/span> linealmente independiente. Si <span class=\"wp-katex-eq\" data-display=\"false\">v_0\\in V<\/span> es un elemento tal que <span class=\"wp-katex-eq\" data-display=\"false\">v_0\\notin gen(D)<\/span>, entonces el conjunto <span class=\"wp-katex-eq\" data-display=\"false\">D\\cup \\{v_0\\}<\/span> es un conjunto linealmente independiente.<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: justify;border: none\">b)<\/td>\n<td style=\"text-align: justify;border: none\">Sea <span class=\"wp-katex-eq\" data-display=\"false\">(V,+,\\cdot)<\/span> un espacio vectorial sobre un campo <span class=\"wp-katex-eq\" data-display=\"false\">\\mathbb{K}<\/span> de dimensi\u00f3n <span class=\"wp-katex-eq\" data-display=\"false\">n<\/span> (finita) y <span class=\"wp-katex-eq\" data-display=\"false\">T:V\\longrightarrow V<\/span> una transformaci\u00f3n lineal sobreyectiva. Si <span class=\"wp-katex-eq\" data-display=\"false\">B=\\{ v_1,v_2,...,v_3 \\}<\/span> es una base de <span class=\"wp-katex-eq\" data-display=\"false\">V<\/span> formada por vectores propios de <span class=\"wp-katex-eq\" data-display=\"false\">T<\/span>, entonces la matriz asociada a <span class=\"wp-katex-eq\" data-display=\"false\">T<\/span> en la base <span class=\"wp-katex-eq\" data-display=\"false\">B<\/span> es diagonal.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>A continuaci\u00f3n, se presentan dos enunciados que son verdaderos, seleccione uno de ellos y demu\u00e9strelo. a) Sea un espacio vectorial sobre un campo y sea un subconjunto de linealmente independiente. Si es un elemento tal que , entonces el conjunto es un conjunto linealmente independiente. b) Sea un espacio vectorial sobre un campo de dimensi\u00f3n &hellip; <a href=\"https:\/\/blog.espol.edu.ec\/matg1003\/2019-2020-termino-2-e3-tema-5\/\" class=\"more-link\">Sigue leyendo <span class=\"screen-reader-text\">Tema 5<\/span><\/a><\/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":[1430170],"tags":[],"class_list":["post-7885","post","type-post","status-publish","format-standard","hentry","category-tercera-evaluacion-termino-2-2019-2020"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/posts\/7885","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/users\/609"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/comments?post=7885"}],"version-history":[{"count":5,"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/posts\/7885\/revisions"}],"predecessor-version":[{"id":7890,"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/posts\/7885\/revisions\/7890"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/media?parent=7885"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/categories?post=7885"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/tags?post=7885"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}