{"id":6724,"date":"2019-07-07T23:44:03","date_gmt":"2019-07-08T04:44:03","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1003\/?p=6724"},"modified":"2019-07-07T23:44:03","modified_gmt":"2019-07-08T04:44:03","slug":"2019-2020-termino-1-e1-tema-2","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/matg1049\/2019-2020-termino-1-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 1 | Primera Evaluaci\u00f3n | Tema 2\r\n                            <\/div>\r\n                        <\/div>\n<hr \/>\n<p style=\"text-align: justify\">Si <span class=\"wp-katex-eq\" data-display=\"false\">(\\mathbb{R}^3,+,\\cdot,\\mathbb{R})<\/span> es el espacio vectorial real con las operaciones usuales en <span class=\"wp-katex-eq\" data-display=\"false\">\\mathbb{R}^3<\/span>, considere el subconjunto <span class=\"wp-katex-eq\" data-display=\"false\">W<\/span> formada por todos los vectores en <span class=\"wp-katex-eq\" data-display=\"false\">\\mathbb{R}^3<\/span> tal que la suma de sus componentes es igual a cero. Adem\u00e1s, si <span class=\"wp-katex-eq\" data-display=\"false\">U<\/span> es el subconjunto de <span class=\"wp-katex-eq\" data-display=\"false\">\\mathbb{R}^3<\/span> generado por el vector <span class=\"wp-katex-eq\" data-display=\"false\">(1,-1,0)<\/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%\">Verifique que el subconjunto <span class=\"wp-katex-eq\" data-display=\"false\">W<\/span> es un subespacio de <span class=\"wp-katex-eq\" data-display=\"false\">\\mathbb{R}^3<\/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%\">Determine el subespacio <span class=\"wp-katex-eq\" data-display=\"false\">U\\cap W<\/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%\">\u00bfEs <span class=\"wp-katex-eq\" data-display=\"false\">U\\cup W<\/span> un subespacio?<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: justify;border: none\" width=\"5%\">d.<\/td>\n<td style=\"text-align: justify;border: none\" width=\"95%\">Determine la dimensi\u00f3n del subespacio vectorial <span class=\"wp-katex-eq\" data-display=\"false\">U+W<\/span>.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Si es el espacio vectorial real con las operaciones usuales en , considere el subconjunto formada por todos los vectores en tal que la suma de sus componentes es igual a cero. Adem\u00e1s, si es el subconjunto de generado por el vector . a. Verifique que el subconjunto es un subespacio de . b. Determine &hellip; <a href=\"https:\/\/blog.espol.edu.ec\/matg1049\/2019-2020-termino-1-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":[1430162],"tags":[],"class_list":["post-6724","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\/6724","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=6724"}],"version-history":[{"count":0,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/posts\/6724\/revisions"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/media?parent=6724"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/categories?post=6724"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/tags?post=6724"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}