{"id":6204,"date":"2019-02-15T15:46:00","date_gmt":"2019-02-15T20:46:00","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1003\/?p=6204"},"modified":"2019-02-15T15:46:00","modified_gmt":"2019-02-15T20:46:00","slug":"2018-2019-termino-2-e3-tema-4","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/matg1049\/2018-2019-termino-2-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 | 2018-2019 | T\u00e9rmino 2 | Tercera Evaluaci\u00f3n | Tema 4\r\n                            <\/div>\r\n                        <\/div>\n<hr \/>\n<p style=\"text-align: justify\">Sea <span class=\"wp-katex-eq\" data-display=\"false\">A=M_{4\\times 4}{(\\mathbb{R})}<\/span>, si sus subespacios propios son:<span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\begin{aligned} L_1&amp;=gen\\begin{Bmatrix}  \\begin{pmatrix} x\\\\y\\\\z\\\\w \\end{pmatrix} \\in \\mathbb{R}^4 \\ : \\ \\begin{aligned} 8x+y+z+4w&amp;=0\\\\4x+y+z+2w&amp;=0\\\\4x+z+2w&amp;=0 \\end{aligned} \\end{Bmatrix} \\\\ \\\\L_2&amp;=gen\\begin{Bmatrix}  \\begin{pmatrix} \\begin{array}{r} -1\\\\0\\\\1\\\\0 \\end{array} \\end{pmatrix} \\end{Bmatrix}\\\\ \\\\ L_3&amp;=gen\\begin{Bmatrix}  \\begin{pmatrix} 1\\\\0\\\\0\\\\0 \\end{pmatrix} \\end{Bmatrix} \\end{aligned}<\/span><strong><em>a)<\/em><\/strong> Determine si <span class=\"wp-katex-eq\" data-display=\"false\">A<\/span> es diagonalizable.<br \/>\n<strong><em>b)<\/em><\/strong> \u00bfEs <span class=\"wp-katex-eq\" data-display=\"false\">A<\/span> es una matriz sim\u00e9trica? Justifique su respuesta.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Sea , si sus subespacios propios son:a) Determine si es diagonalizable. b) \u00bfEs es una matriz sim\u00e9trica? Justifique su respuesta.<\/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":[1427526],"tags":[],"class_list":["post-6204","post","type-post","status-publish","format-standard","hentry","category-tercera-evaluacion-termino-2-2018-2019"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/posts\/6204","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=6204"}],"version-history":[{"count":0,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/posts\/6204\/revisions"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/media?parent=6204"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/categories?post=6204"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/tags?post=6204"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}