{"id":3746,"date":"2018-04-05T14:46:59","date_gmt":"2018-04-05T19:46:59","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1003\/?p=3746"},"modified":"2018-04-05T15:19:49","modified_gmt":"2018-04-05T20:19:49","slug":"2017-2018-termino-2-e2-tema-2","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/matg1003\/2017-2018-termino-2-e2-tema-2\/","title":{"rendered":"Tema 2"},"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 | 2017-2018 | T\u00e9rmino 2 | Segunda Evaluaci\u00f3n | Tema 2\r\n                            <\/div>\r\n                        <\/div>\n<hr \/>\n<p style=\"text-align: justify\">Si <span class=\"wp-katex-eq\" data-display=\"false\">T:\\mathbb{P}_2\\longrightarrow \\mathbb{R}^4<\/span> es una transformaci\u00f3n lineal del espacio de polinomios de grado menor o igual que <span class=\"wp-katex-eq\" data-display=\"false\">2<\/span> en <span class=\"wp-katex-eq\" data-display=\"false\">\\mathbb{R}^4<\/span>, tal que<span class=\"wp-katex-eq katex-display\" data-display=\"true\">[T]_{B_1 B_2}=\\begin{pmatrix}1 &amp; 2 &amp; 1\\\\ 1 &amp; 1 &amp; 1 \\\\ 0 &amp; 1 &amp; 1 \\\\ 2 &amp; 1 &amp; 1\\end{pmatrix}<\/span>siendo <span class=\"wp-katex-eq\" data-display=\"false\">B_1=\\left\\{x^2 - x + 1,\\;x+2,\\;1 \\right\\}<\/span> y <span class=\"wp-katex-eq\" data-display=\"false\">B_2=\\scriptsize{\\left\\{ \\begin{pmatrix}1 \\\\ 1 \\\\ 1 \\\\ 1\\end{pmatrix}, \\begin{pmatrix}1 \\\\ 1 \\\\ 1 \\\\ 0\\end{pmatrix},  \\begin{pmatrix}1 \\\\ 1 \\\\ 0 \\\\ 0\\end{pmatrix}, \\begin{pmatrix}1 \\\\ 0 \\\\ 0 \\\\ 0\\end{pmatrix}\\right\\}}.<\/span><br \/>\nDeterminar:<\/p>\n<p style=\"text-align: justify\">a. <span class=\"wp-katex-eq\" data-display=\"false\">T(x^2),\\; T(x),\\; T(1)<\/span>.<\/p>\n<p style=\"text-align: justify\">b. <span class=\"wp-katex-eq\" data-display=\"false\">T(ax^2+bx+c),<\/span> para <span class=\"wp-katex-eq\" data-display=\"false\">a,b,c \\in \\mathbb{R}<\/span>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Si es una transformaci\u00f3n lineal del espacio de polinomios de grado menor o igual que en , tal quesiendo y Determinar: a. . b. para .<\/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":[1416678],"tags":[],"class_list":["post-3746","post","type-post","status-publish","format-standard","hentry","category-segunda-evaluacion-termino-2"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/posts\/3746","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=3746"}],"version-history":[{"count":16,"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/posts\/3746\/revisions"}],"predecessor-version":[{"id":3762,"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/posts\/3746\/revisions\/3762"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/media?parent=3746"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/categories?post=3746"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/tags?post=3746"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}