{"id":5633,"date":"2018-09-17T11:34:06","date_gmt":"2018-09-17T16:34:06","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1003\/?p=5633"},"modified":"2018-09-17T11:34:06","modified_gmt":"2018-09-17T16:34:06","slug":"2018-2019-termino-1-e3-tema-5","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/matg1049\/2018-2019-termino-1-e3-tema-5\/","title":{"rendered":"Tema 5"},"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 | Tercera Evaluaci\u00f3n | Tema 5\r\n                            <\/div>\r\n                        <\/div>\n<hr \/>\n<p style=\"text-align: justify\">Sea <span class=\"wp-katex-eq\" data-display=\"false\">V=P_2{(\\mathbb{R})}<\/span> el espacio de los polinomios de grado menor o igual a 2, con coeficientes reales. Considere los conjuntos:<span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\begin{aligned} H_1&amp;=\\{ ax^2+(2a+b)x+b\\ :\\ a,b\\in \\mathbb{R}  \\} \\\\  H_2&amp;=gen\\{ x-2,x+3 \\} \\\\ H_3&amp;=\\{  (a+b)x^2+(a+b)x+1\\ :\\ a,b\\in \\mathbb{R} \\} \\end{aligned}<\/span><strong><em>a)<\/em><\/strong> Determine, cu\u00e1les de estos conjuntos es un subespacio vectorial <span class=\"wp-katex-eq\" data-display=\"false\">V<\/span>.<br \/>\n<strong><em>b)<\/em><\/strong> Si en el literal a obtiene m\u00e1s de un subespacio vectorial, determine la intersecci\u00f3n entre dichos subespacios.<br \/>\n<strong><em>c)<\/em><\/strong> Determine si <span class=\"wp-katex-eq\" data-display=\"false\">H_1\\cup H_2<\/span> es un subespacio de <span class=\"wp-katex-eq\" data-display=\"false\">V<\/span>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Sea el espacio de los polinomios de grado menor o igual a 2, con coeficientes reales. Considere los conjuntos:a) Determine, cu\u00e1les de estos conjuntos es un subespacio vectorial . b) Si en el literal a obtiene m\u00e1s de un subespacio vectorial, determine la intersecci\u00f3n entre dichos subespacios. c) Determine si es un subespacio de .<\/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":[1427521],"tags":[],"class_list":["post-5633","post","type-post","status-publish","format-standard","hentry","category-tercera-evaluacion-termino-1-2018-2019"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/posts\/5633","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=5633"}],"version-history":[{"count":0,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/posts\/5633\/revisions"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/media?parent=5633"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/categories?post=5633"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/tags?post=5633"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}