{"id":6734,"date":"2019-07-08T07:51:13","date_gmt":"2019-07-08T12:51:13","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1003\/?p=6734"},"modified":"2019-07-08T07:51:13","modified_gmt":"2019-07-08T12:51:13","slug":"2019-2020-termino-1-e1-tema-3","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/matg1049\/2019-2020-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 | 2019-2020 | 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\">(P_2,+,\\cdot)<\/span> el espacio vectorial real de los polinomios de grado menor o igual a dos con las operacione usuales entre polinomios. Dadas las bases <span class=\"wp-katex-eq katex-display\" data-display=\"true\">B_1=\\{ 1,1+x,(1+x)^2 \\}\\quad y \\quad B_2=\\{ 2-x,3,1+x^2 \\}<\/span><\/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%\">Determine 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>.<\/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%\">Si <span class=\"wp-katex-eq\" data-display=\"false\">[p]_{B_{2}}=\\begin{pmatrix} 10\\\\20\\\\30 \\end{pmatrix}<\/span>, determine <span class=\"wp-katex-eq\" data-display=\"false\">p<\/span> y <span class=\"wp-katex-eq\" data-display=\"false\">[p]_{B_{1}}<\/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%\">Determinar, de ser posible, <span class=\"wp-katex-eq\" data-display=\"false\">\\beta\\in \\mathbb{R}<\/span> tal que el vector<span class=\"wp-katex-eq katex-display\" data-display=\"true\">q(x)=1+\\beta(1+x)+(1+2x+x^2)<\/span>satisfaga <span class=\"wp-katex-eq\" data-display=\"false\">[q]_{B_{2}}=\\begin{pmatrix}\\begin{array}{r} 2\\\\-7\\\\1 \\end{array} \\end{pmatrix}<\/span>.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Sea el espacio vectorial real de los polinomios de grado menor o igual a dos con las operacione usuales entre polinomios. Dadas las bases a. Determine la matriz de cambio de base de a . b. Si , determine y . c. Determinar, de ser posible, tal que el vectorsatisfaga .<\/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":[1430162],"tags":[],"class_list":["post-6734","post","type-post","status-publish","format-standard","hentry","category-primera-evaluacion-termino-1-2019-2020"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/posts\/6734","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=6734"}],"version-history":[{"count":0,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/posts\/6734\/revisions"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/media?parent=6734"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/categories?post=6734"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/tags?post=6734"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}