{"id":3105,"date":"2017-10-19T12:42:36","date_gmt":"2017-10-19T17:42:36","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1003\/?p=3105"},"modified":"2017-10-19T13:13:52","modified_gmt":"2017-10-19T18:13:52","slug":"2017-2018-termino-1-e1-tema-5","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/matg1003\/2017-2018-termino-1-e1-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 | 2017-2018 | T\u00e9rmino 1 | Primera Evaluaci\u00f3n | Tema 5\r\n                            <\/div>\r\n                        <\/div>\n<hr \/>\n<p style=\"text-align: justify\">Califique como verdadero o falso y justifique su respuesta.<\/p>\n<p style=\"text-align: justify\">a. Sea <span class=\"wp-katex-eq\" data-display=\"false\">V<\/span> un espacio vectorial. Sea <span class=\"wp-katex-eq\" data-display=\"false\">S<\/span> un conjunto linealmente independiente en <span class=\"wp-katex-eq\" data-display=\"false\">V<\/span>. Si <span class=\"wp-katex-eq\" data-display=\"false\">w<\/span> es un vector no nulo de <span class=\"wp-katex-eq\" data-display=\"false\">V<\/span>, entonces <span class=\"wp-katex-eq\" data-display=\"false\">S\\cup \\{w\\}<\/span> es tambi\u00e9n un conjunto linealmente independiente en <span class=\"wp-katex-eq\" data-display=\"false\">V<\/span>.<\/p>\n<p style=\"text-align: justify\">b. Sea <span class=\"wp-katex-eq\" data-display=\"false\">S=\\{v_1,v_2,\\cdots,v_k\\}<\/span> un conjunto generador del espacio vectorial. Si se a\u00f1ade un vector <span class=\"wp-katex-eq\" data-display=\"false\">v_{k+1}<\/span> que es combinaci\u00f3n lineal de los vectores de <span class=\"wp-katex-eq\" data-display=\"false\">S,<\/span> entonces el conjunto <span class=\"wp-katex-eq\" data-display=\"false\">S'=\\{v_1,v_2,\\cdots,v_k,v_{k+1}\\}<\/span> NO es un conjunto generador de <span class=\"wp-katex-eq\" data-display=\"false\">V<\/span>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Califique como verdadero o falso y justifique su respuesta. a. Sea un espacio vectorial. Sea un conjunto linealmente independiente en . Si es un vector no nulo de , entonces es tambi\u00e9n un conjunto linealmente independiente en . b. Sea un conjunto generador del espacio vectorial. Si se a\u00f1ade un vector que es combinaci\u00f3n lineal &hellip; <a href=\"https:\/\/blog.espol.edu.ec\/matg1003\/2017-2018-termino-1-e1-tema-5\/\" class=\"more-link\">Sigue leyendo <span class=\"screen-reader-text\">Tema 5<\/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":[21431],"tags":[],"class_list":["post-3105","post","type-post","status-publish","format-standard","hentry","category-primera-evaluacion"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/posts\/3105","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=3105"}],"version-history":[{"count":14,"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/posts\/3105\/revisions"}],"predecessor-version":[{"id":3119,"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/posts\/3105\/revisions\/3119"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/media?parent=3105"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/categories?post=3105"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/tags?post=3105"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}