{"id":3889,"date":"2018-04-10T11:29:49","date_gmt":"2018-04-10T16:29:49","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1003\/?p=3889"},"modified":"2018-04-10T11:38:04","modified_gmt":"2018-04-10T16:38:04","slug":"2017-2018-termino-1-e2-tema-4","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/matg1003\/2017-2018-termino-1-e2-tema-4\/","title":{"rendered":"Tema 4"},"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 | Segunda Evaluaci\u00f3n | Tema 4\r\n                            <\/div>\r\n                        <\/div>\n<hr \/>\n<p style=\"text-align: justify\">Sea <span class=\"wp-katex-eq\" data-display=\"false\">V=\\mathbb{R}^3<\/span> y sea <span class=\"wp-katex-eq\" data-display=\"false\">H<\/span> el subespacio de <span class=\"wp-katex-eq\" data-display=\"false\">V<\/span>definido como <span class=\"wp-katex-eq katex-display\" data-display=\"true\">H=gen\\left\\{  \\begin{pmatrix}\\begin{array} {r} 1 \\\\ 0 \\\\ -1 \\end{array}\\end{pmatrix},\\begin{pmatrix}\\begin{array} {r} 1 \\\\ -1 \\\\ 0 \\end{array}\\end{pmatrix},\\begin{pmatrix}\\begin{array} {r} 0 \\\\ 1\\\\ -1 \\end{array}\\end{pmatrix} \\right\\} \\quad y \\quad x=\\begin{pmatrix}\\begin{array} {r} 1 \\\\ 3\\\\ 2 \\end{array}\\end{pmatrix}<\/span>usando el producto interno can\u00f3nico o est\u00e1ndar, halle:<\/p>\n<p style=\"text-align: justify\">a. El complemento ortogonal de <span class=\"wp-katex-eq\" data-display=\"false\">H<\/span>.<\/p>\n<p style=\"text-align: justify\">b. Una base ortonormal de <span class=\"wp-katex-eq\" data-display=\"false\">H<\/span>.<\/p>\n<p style=\"text-align: justify\">c. La proyecci\u00f3n ortogonal de <span class=\"wp-katex-eq\" data-display=\"false\">x<\/span> sobre <span class=\"wp-katex-eq\" data-display=\"false\">H<\/span>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Sea y sea el subespacio de definido como usando el producto interno can\u00f3nico o est\u00e1ndar, halle: a. El complemento ortogonal de . b. Una base ortonormal de . c. La proyecci\u00f3n ortogonal de sobre .<\/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":[23814],"tags":[],"class_list":["post-3889","post","type-post","status-publish","format-standard","hentry","category-segunda-evaluacion"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/posts\/3889","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=3889"}],"version-history":[{"count":5,"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/posts\/3889\/revisions"}],"predecessor-version":[{"id":3894,"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/posts\/3889\/revisions\/3894"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/media?parent=3889"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/categories?post=3889"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1003\/wp-json\/wp\/v2\/tags?post=3889"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}