{"id":5177,"date":"2018-06-29T09:59:35","date_gmt":"2018-06-29T14:59:35","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1003\/?p=5177"},"modified":"2018-06-29T09:59:35","modified_gmt":"2018-06-29T14:59:35","slug":"2018-2019-termino-1-e1-tema-3","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/matg1049\/2018-2019-termino-1-e1-tema-3\/","title":{"rendered":"Tema 3"},"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 3\r\n                            <\/div>\r\n                        <\/div>\n<hr \/>\n<p style=\"text-align: justify\">Sea <span class=\"wp-katex-eq\" data-display=\"false\">\\mathbb{P_3}(\\mathbb{R})<\/span> el espacio vectorial de los polinomios de coeficientes reales de grado menor o igual a <span class=\"wp-katex-eq\" data-display=\"false\">3<\/span>. Considere <span class=\"wp-katex-eq\" data-display=\"false\">H<\/span> y <span class=\"wp-katex-eq\" data-display=\"false\">W<\/span> subespacios de <span class=\"wp-katex-eq\" data-display=\"false\">V<\/span> tales que <span class=\"wp-katex-eq\" data-display=\"false\">H=gen\\{x^2-1,x^3\\}<\/span> y <span class=\"wp-katex-eq\" data-display=\"false\">W=gen\\{5,x^3-x^2\\}<\/span>.Determine:<\/p>\n<p style=\"text-align: justify\">3.1. Una base <span class=\"wp-katex-eq\" data-display=\"false\">B_1<\/span> para el subespacio <span class=\"wp-katex-eq\" data-display=\"false\">H\\cap W<\/span> e indique su dimensi\u00f3n.<br \/>\n3.2. Una base <span class=\"wp-katex-eq\" data-display=\"false\">B_2<\/span> para el subespacio <span class=\"wp-katex-eq\" data-display=\"false\">H + W<\/span>.<br \/>\n3.3. Una base para <span class=\"wp-katex-eq\" data-display=\"false\">\\mathbb{P_3}(\\mathbb{R})<\/span> que contenga a <span class=\"wp-katex-eq\" data-display=\"false\">B_2<\/span>.<br \/>\n3.4. Si el vector <span class=\"wp-katex-eq\" data-display=\"false\">1-x+x^2-2x^3<\/span> pertenece a <span class=\"wp-katex-eq\" data-display=\"false\">H+W<\/span>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Sea el espacio vectorial de los polinomios de coeficientes reales de grado menor o igual a . Considere y subespacios de tales que y .Determine: 3.1. Una base para el subespacio e indique su dimensi\u00f3n. 3.2. Una base para el subespacio . 3.3. Una base para que contenga a . 3.4. Si el vector pertenece &hellip; <a href=\"https:\/\/blog.espol.edu.ec\/matg1049\/2018-2019-termino-1-e1-tema-3\/\" class=\"more-link\">Sigue leyendo <span class=\"screen-reader-text\">Tema 3<\/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":[1426166],"tags":[],"class_list":["post-5177","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\/5177","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=5177"}],"version-history":[{"count":0,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/posts\/5177\/revisions"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/media?parent=5177"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/categories?post=5177"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/tags?post=5177"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}