{"id":7621,"date":"2019-11-29T10:46:03","date_gmt":"2019-11-29T15:46:03","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1003\/?p=7621"},"modified":"2019-11-29T11:08:05","modified_gmt":"2019-11-29T16:08:05","slug":"2019-2020-termino-2-e1-tema-2","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/matg1003\/2019-2020-termino-2-e1-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 | 2019-2020 | T\u00e9rmino 2 | Primera Evaluaci\u00f3n | Tema 2\r\n                            <\/div>\r\n                        <\/div>\n<hr \/>\n<p style=\"text-align: justify\">Sea <span class=\"wp-katex-eq\" data-display=\"false\">V=M_2(\\mathbb{R})<\/span> el espacio vectorial real, de todas las matrices cuadradas de orden <span class=\"wp-katex-eq\" data-display=\"false\">2<\/span>, con entradas reales y las operaciones usuales de adici\u00f3n y multiplicaci\u00f3n por un escalar para matrices. Sean <span class=\"wp-katex-eq\" data-display=\"false\">\\small{H=\\begin{Bmatrix} \\begin{pmatrix} a&amp;b\\\\c&amp;d \\end{pmatrix} : a-b-c-d=0 \\end{Bmatrix}}<\/span> y <span class=\"wp-katex-eq\" data-display=\"false\">\\small{W=gen\\begin{Bmatrix} \\begin{pmatrix} 1&amp;1\\\\0&amp;0 \\end{pmatrix},\\begin{pmatrix} 0&amp;0\\\\1&amp;1 \\end{pmatrix} \\end{Bmatrix}}<\/span> dos subespacios de <span class=\"wp-katex-eq\" data-display=\"false\">M_2(\\mathbb{R})<\/span>. Determine, de ser posible:<\/p>\n<table style=\"border: none\">\n<tbody>\n<tr>\n<td style=\"text-align: justify;border: none\" width=\"6%\">a)<\/td>\n<td style=\"text-align: justify;border: none\" width=\"94%\">Si <span class=\"wp-katex-eq\" data-display=\"false\">\\begin{pmatrix} 0&amp;0\\\\0&amp;1 \\end{pmatrix} \\in H+W<\/span>.<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: justify;border: none\">b)<\/td>\n<td style=\"text-align: justify;border: none\">Bases <span class=\"wp-katex-eq\" data-display=\"false\">B_{H\\cap W}<\/span>, <span class=\"wp-katex-eq\" data-display=\"false\">B_{H+W}<\/span> y <span class=\"wp-katex-eq\" data-display=\"false\">B_V<\/span> para los subespacios <span class=\"wp-katex-eq\" data-display=\"false\">H\\cap W<\/span>, <span class=\"wp-katex-eq\" data-display=\"false\">H+W<\/span> y <span class=\"wp-katex-eq\" data-display=\"false\">V<\/span>, respectivamente; de tal forma que <span class=\"wp-katex-eq\" data-display=\"false\">B_{H\\cap W}\\subseteq B_{B+W} \\subseteq B_V<\/span>.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Sea el espacio vectorial real, de todas las matrices cuadradas de orden , con entradas reales y las operaciones usuales de adici\u00f3n y multiplicaci\u00f3n por un escalar para matrices. Sean y dos subespacios de . Determine, de ser posible: a) Si . b) Bases , y para los subespacios , y , respectivamente; de tal &hellip; <a href=\"https:\/\/blog.espol.edu.ec\/matg1003\/2019-2020-termino-2-e1-tema-2\/\" class=\"more-link\">Sigue leyendo <span class=\"screen-reader-text\">Tema 2<\/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":[1430168],"tags":[],"class_list":["post-7621","post","type-post","status-publish","format-standard","hentry","category-primera-evaluacion-termino-2-2019-2020"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/posts\/7621","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=7621"}],"version-history":[{"count":16,"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/posts\/7621\/revisions"}],"predecessor-version":[{"id":7637,"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/posts\/7621\/revisions\/7637"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/media?parent=7621"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/categories?post=7621"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/tags?post=7621"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}