\n Can anyone help me out with his problem? It is about Applied Linear Algebra.\n <\/p>\n
Exercise 5.Consider the vector space P3 with inner product defined by(f,g) = f(-1)g(-1) + f(0)g(0) + f(1)g(1) + f(2)g(2).(a) Find an orthonormal basis for the subspace spanned by 1, x, and x2.(b) Find the projection of the function 1 + 4x onto the space P2.(c) Solve (a) and (b) when the inner product is defined by(f, g) = \/ f(x)g(x)dx.-1\n<\/p><\/div>\n","protected":false},"excerpt":{"rendered":"
Can anyone help me out with his problem? It is about Applied Linear Algebra. Exercise 5.Consider the vector space P3 with inner product defined by(f,g) = f(-1)g(-1) + f(0)g(0) + f(1)g(1) + f(2)g(2).(a) Find an orthonormal basis for the subspace spanned by 1, x, and x2.(b) Find the projection of the function 1 + 4x […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_joinchat":[]},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts\/228557"}],"collection":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/comments?post=228557"}],"version-history":[{"count":0,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts\/228557\/revisions"}],"wp:attachment":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/media?parent=228557"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/categories?post=228557"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/tags?post=228557"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}