{"id":7009,"date":"2019-09-07T12:16:17","date_gmt":"2019-09-07T17:16:17","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1003\/?p=7009"},"modified":"2019-09-07T12:16:17","modified_gmt":"2019-09-07T17:16:17","slug":"2019-2020-termino-1-e2-tema-4","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/matg1049\/2019-2020-termino-1-e2-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 | Segunda Evaluaci\u00f3n | Tema 4\r\n                            <\/div>\r\n                        <\/div>\n<hr \/>\n<p style=\"text-align: justify\">Dada la matriz <span class=\"wp-katex-eq\" data-display=\"false\">A=\\begin{pmatrix} \\begin{array}{rrr} 1&amp;a&amp;-2\\\\0&amp;b&amp;0\\\\ -c&amp;0&amp;4 \\end{array} \\end{pmatrix}<\/span> determine, de ser posible:<\/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%\">Los valores de <span class=\"wp-katex-eq\" data-display=\"false\">a<\/span>, <span class=\"wp-katex-eq\" data-display=\"false\">b<\/span> y <span class=\"wp-katex-eq\" data-display=\"false\">c<\/span> para que <span class=\"wp-katex-eq\" data-display=\"false\">A<\/span> sea una matriz sim\u00e9trica y <span class=\"wp-katex-eq\" data-display=\"false\">\\lambda=5<\/span> sea un valor propio asociado al vector propio <span class=\"wp-katex-eq\" data-display=\"false\">\\begin{pmatrix} \\begin{array}{c} 0\\\\1\\\\0 \\end{array} \\end{pmatrix}<\/span> de <span class=\"wp-katex-eq\" data-display=\"false\">A<\/span>.<\/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%\">Una base ortonormal de <span class=\"wp-katex-eq\" data-display=\"false\">\\mathbb{R}^3<\/span> conformada por vectores propios de <span class=\"wp-katex-eq\" data-display=\"false\">A<\/span>.<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: justify;border: none\" width=\"5%\">c.<\/td>\n<td style=\"text-align: justify;border: none\" width=\"95%\">Las matrices <span class=\"wp-katex-eq\" data-display=\"false\">D<\/span> y <span class=\"wp-katex-eq\" data-display=\"false\">P<\/span> tales que <span class=\"wp-katex-eq\" data-display=\"false\">D=P^TAP<\/span>.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Dada la matriz determine, de ser posible: a. Los valores de , y para que sea una matriz sim\u00e9trica y sea un valor propio asociado al vector propio de . b. Una base ortonormal de conformada por vectores propios de . c. Las matrices y tales que .<\/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":[1430163],"tags":[],"class_list":["post-7009","post","type-post","status-publish","format-standard","hentry","category-segunda-evaluacion-termino-1-2019-2020"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/posts\/7009","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=7009"}],"version-history":[{"count":0,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/posts\/7009\/revisions"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/media?parent=7009"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/categories?post=7009"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/tags?post=7009"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}