{"id":7645,"date":"2019-11-29T11:29:09","date_gmt":"2019-11-29T16:29:09","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1003\/?p=7645"},"modified":"2019-11-29T11:29:09","modified_gmt":"2019-11-29T16:29:09","slug":"2019-2020-termino-2-e1-tema-4","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/matg1049\/2019-2020-termino-2-e1-tema-4\/","title":{"rendered":"Tema 4"},"content":{"rendered":"
\r\n
\r\n Examen | 2019-2020 | T\u00e9rmino 2 | Primera Evaluaci\u00f3n | Tema 4\r\n <\/div>\r\n <\/div>\n
\n

Se define la funci\u00f3n T:\\mathbb{R}\\longrightarrow \\mathbb{R}^2<\/span> por T(a)=(a-2,a)<\/span>, entre los espacios vectoriales reales (\\mathbb{R},\\oplus,\\odot)<\/span> y (\\mathbb{R}^2,\\boxplus,\\boxdot)<\/span>, cuyas operaciones est\u00e1n definida por:\\begin{aligned} a\\oplus b &= a+b-1 , \\forall a,b\\in \\mathbb{R}\\\\ k\\odot a &= ka-k+1 , \\forall k\\in \\mathbb{K}\\enspace \\forall a\\in \\mathbb{R} \\\\ (a_1,b_1)\\boxplus (a_2,b_2) &= (a_1+a_2+1,b_1+b_2-1), \\forall (a_1,b_1),(a_2,b_2)\\in \\mathbb{R}^2 \\\\ k\\boxdot(a,b) &= (ka+k-1,kb-k+1), \\forall k\\in \\mathbb{K}\\enspace \\forall (a,b)\\in \\mathbb{R}^2 \\end{aligned}<\/span>Determine, de ser posible:<\/p>\n\n\n\n\n\n\n\n\n
a)<\/td>\nSi T(a\\oplus b)=T(a)\\boxplus T(b), \\forall a,b\\in \\mathbb{R}<\/span>.<\/td>\n<\/tr>\n
b)<\/td>\nSi T(\\lambda \\odot a)=\\lambda \\boxdot T(a), \\forall \\lambda, a\\in \\mathbb{R}<\/span>.<\/td>\n<\/tr>\n
c)<\/td>\nEl elemento neutro de la adici\u00f3n en \\mathbb{R}<\/span>.<\/td>\n<\/tr>\n
d)<\/td>\nEl elemento neutro de la adici\u00f3n en \\mathbb{R}^2<\/span>.<\/td>\n<\/tr>\n
e)<\/td>\nLa imagen del elemento neutro de la adici\u00f3n en \\mathbb{R}<\/span>.<\/td>\n<\/tr>\n
f)<\/td>\nSi T<\/span> es una transformaci\u00f3n lineal.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

Se define la funci\u00f3n por , entre los espacios vectoriales reales y , cuyas operaciones est\u00e1n definida por:Determine, de ser posible: a) Si . b) Si . c) El elemento neutro de la adici\u00f3n en . d) El elemento neutro de la adici\u00f3n en . e) La imagen del elemento neutro de la adici\u00f3n en … Sigue leyendo Tema 4<\/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":[1430168],"tags":[],"class_list":["post-7645","post","type-post","status-publish","format-standard","hentry","category-primera-evaluacion-termino-2-2019-2020"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/posts\/7645","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=7645"}],"version-history":[{"count":0,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/posts\/7645\/revisions"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/media?parent=7645"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/categories?post=7645"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/matg1049\/wp-json\/wp\/v2\/tags?post=7645"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}