{"id":5186,"date":"2018-06-29T10:44:29","date_gmt":"2018-06-29T15:44:29","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1003\/?p=5186"},"modified":"2021-03-29T12:55:33","modified_gmt":"2021-03-29T17:55:33","slug":"2018-2019-termino-1-e1-tema-5","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/matg1049\/2018-2019-termino-1-e1-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 | 2018-2019 | T\u00e9rmino 1 | Primera Evaluaci\u00f3n | Tema 5\r\n                            <\/div>\r\n                        <\/div>\n<hr \/>\n<p style=\"text-align: justify\">Sean <span class=\"wp-katex-eq\" data-display=\"false\">B_1=\\{v_1,v_2,v_3\\}<\/span> y <span class=\"wp-katex-eq\" data-display=\"false\">B_2=\\{u_1,u_2,u_3\\}<\/span> bases ordenadas del espacio vectorial <span class=\"wp-katex-eq\" data-display=\"false\">V<\/span>. Suponga que:<span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\begin{array} {rrr} {[\\cos^2 x]_{B_1}=\\begin{pmatrix} \\begin{array}{r} 1\\\\1\\\\1 \\end{array} \\end{pmatrix}}  &amp; {[\\sin x]_{B_1}=\\begin{pmatrix} \\begin{array}{r} 1\\\\0\\\\1 \\end{array} \\end{pmatrix}} \\\\ \\\\  {[\\sin^2 x]_{B_1}=\\begin{pmatrix} \\begin{array}{r} 0\\\\2\\\\1 \\end{array} \\end{pmatrix}} \\\\ \\\\ {[u_1 - u_2]_{B_1}=\\begin{pmatrix} \\begin{array}{r} 0\\\\1\\\\1 \\end{array} \\end{pmatrix}} &amp; {[u_1 + u_2]_{B_1}=\\begin{pmatrix} \\begin{array}{r} -2\\\\1\\\\-1 \\end{array} \\end{pmatrix}} \\\\ \\\\  {[u_1 + u_2 + u_3]_{B_1}=\\begin{pmatrix} \\begin{array}{r} 2\\\\0\\\\-1 \\end{array} \\end{pmatrix}} \\end{array}<\/span>Determine:<\/p>\n<p style=\"text-align: justify\">5.1. La matriz de cambio de base de <span class=\"wp-katex-eq\" data-display=\"false\">B_2<\/span> a <span class=\"wp-katex-eq\" data-display=\"false\">B_1<\/span>.<br \/>\n5.2. Los vectores de la base <span class=\"wp-katex-eq\" data-display=\"false\">B_1<\/span>.<br \/>\n5.3. Los vectores de la base <span class=\"wp-katex-eq\" data-display=\"false\">B_2<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Sean y bases ordenadas del espacio vectorial . Suponga que:Determine: 5.1. La matriz de cambio de base de a . 5.2. Los vectores de la base . 5.3. Los vectores de la base<\/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":[1426166],"tags":[],"class_list":["post-5186","post","type-post","status-publish","format-standard","hentry","category-primera-evaluacion-termino-1-2018-2019"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/posts\/5186","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=5186"}],"version-history":[{"count":1,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/posts\/5186\/revisions"}],"predecessor-version":[{"id":8402,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/posts\/5186\/revisions\/8402"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/media?parent=5186"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/categories?post=5186"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/tags?post=5186"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}