{"id":7812,"date":"2020-02-02T23:36:19","date_gmt":"2020-02-03T04:36:19","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1003\/?p=7812"},"modified":"2020-02-02T23:36:19","modified_gmt":"2020-02-03T04:36:19","slug":"2019-2020-termino-2-e2-tema-3","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/matg1049\/2019-2020-termino-2-e2-tema-3\/","title":{"rendered":"Tema 3"},"content":{"rendered":"
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\r\n Examen | 2019-2020 | T\u00e9rmino 2 | Segunda Evaluaci\u00f3n | Tema 3\r\n <\/div>\r\n <\/div>\n
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Dada la matriz A=\\begin{pmatrix}\\begin{array}{rrrr} a&-2&0&0 \\\\ b&1&0&0 \\\\ 0&0&1&-2 \\\\ 0&0&-2&1 \\end{array}\\end{pmatrix}<\/span>Determine de ser posible:<\/p>\n\n\n\n\n\n\n
a)<\/td>\nLos valores de a<\/span> y b<\/span> para que A<\/span> sea una matriz diagonalizable ortogonalmente y \\lambda=-1<\/span> sea un valor propio asociado al vector propio \\begin{pmatrix}\\begin{array}{r} -3\\\\-3\\\\0\\\\0 \\end{array}\\end{pmatrix}<\/span> de A<\/span>.<\/td>\n<\/tr>\n
b)<\/td>\nUsando los valores de a<\/span> y b<\/span> encontrados, el polinomio caracter\u00edstico de A<\/span>.<\/td>\n<\/tr>\n
c)<\/td>\nLos espacios propios asociados a los valores propios de A<\/span>.<\/td>\n<\/tr>\n
d)<\/td>\nUna base ortonormal de \\mathbb{R}^4<\/span> conformada por los vectores de A<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

Dada la matriz Determine de ser posible: a) Los valores de y para que sea una matriz diagonalizable ortogonalmente y sea un valor propio asociado al vector propio de . b) Usando los valores de y encontrados, el polinomio caracter\u00edstico de . c) Los espacios propios asociados a los valores propios de . d) Una … Sigue leyendo Tema 3<\/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":[1430169],"tags":[],"class_list":["post-7812","post","type-post","status-publish","format-standard","hentry","category-segunda-evaluacion-termino-2-2019-2020"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/posts\/7812","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=7812"}],"version-history":[{"count":0,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/posts\/7812\/revisions"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/media?parent=7812"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/categories?post=7812"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/tags?post=7812"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}