{"id":7345,"date":"2019-09-18T22:23:58","date_gmt":"2019-09-19T03:23:58","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1003\/?p=7345"},"modified":"2019-09-18T22:23:58","modified_gmt":"2019-09-19T03:23:58","slug":"2019-2020-termino-1-e3-tema-4","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/matg1049\/2019-2020-termino-1-e3-tema-4\/","title":{"rendered":"Tema 4"},"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 4\r\n                            <\/div>\r\n                        <\/div>\n<hr \/>\n<p style=\"text-align: justify\">Considere la funci\u00f3n <span class=\"wp-katex-eq\" data-display=\"false\">T:P_1(\\mathbb{R})\\longrightarrow \\mathbb{R}^3<\/span> definida por <span class=\"wp-katex-eq\" data-display=\"false\">T(ax+b)=(a+2b,a-b,b)<\/span>, donde <span class=\"wp-katex-eq\" data-display=\"false\">P_1(\\mathbb{R})<\/span> denota el espacio vectorial real de todos los polinomios de grado menor o igual a <span class=\"wp-katex-eq\" data-display=\"false\">1<\/span>, con las operaciones usuales.<\/p>\n<table style=\"border: none\">\n<tbody>\n<tr>\n<td style=\"text-align: justify;border: none\" width=\"5%\">a.<\/td>\n<td style=\"text-align: justify;border: none\" width=\"95%\">Verifique que <span class=\"wp-katex-eq\" data-display=\"false\">T<\/span> es una transformaci\u00f3n lineal.<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: justify;border: none\" width=\"5%\">b.<\/td>\n<td style=\"text-align: justify;border: none\" width=\"95%\">Considere las bases <span class=\"wp-katex-eq\" data-display=\"false\">B_{\\mathbb{R}^3}=\\{ (1,0,0),(1,1,0),(0,1,1) \\}<\/span> y <span class=\"wp-katex-eq\" data-display=\"false\">B_{P_1(\\mathbb{R})}=\\{ 1,x+1 \\}<\/span> de <span class=\"wp-katex-eq\" data-display=\"false\">P_1(\\mathbb{R})<\/span> y <span class=\"wp-katex-eq\" data-display=\"false\">\\mathbb{R}^3<\/span> respectivamente, construya la matriz asociada a la transformaci\u00f3n lineal de la base <span class=\"wp-katex-eq\" data-display=\"false\">B_{P_1(\\mathbb{R})}<\/span> a la base <span class=\"wp-katex-eq\" data-display=\"false\">B_{\\mathbb{R}^3}<\/span>.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Considere la funci\u00f3n definida por , donde denota el espacio vectorial real de todos los polinomios de grado menor o igual a , con las operaciones usuales. a. Verifique que es una transformaci\u00f3n lineal. b. Considere las bases y de y respectivamente, construya la matriz asociada a la transformaci\u00f3n lineal de la base a la &hellip; <a href=\"https:\/\/blog.espol.edu.ec\/matg1049\/2019-2020-termino-1-e3-tema-4\/\" class=\"more-link\">Sigue leyendo <span class=\"screen-reader-text\">Tema 4<\/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":[1430164],"tags":[],"class_list":["post-7345","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\/7345","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=7345"}],"version-history":[{"count":0,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/posts\/7345\/revisions"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/media?parent=7345"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/categories?post=7345"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/tags?post=7345"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}