Let V be the vector space of functions spanned byB = {bi = 6 sin x + 4 cos a, b2 = 2 sin x + 7 cos a} where x +iN E Z.,n2C = {c1 = sin æ, c2 = cos a} where x,n e Z is also a basis for V. Find the change2of coordinates matrix PCEBEx: 5PC-BThe coordinates of a function f(x) relative to the basis Bare [f(x)]B = ||:Find thecoordinates of f(x) relative to Cand find f(x).Ex: 5[f(x)]c =f(x) = Ex 5sin x +cos x

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Let V be the vector space of functions spanned by B = {bị = 6 sin æ + 4 cos a, b2 = 2 sin æ + 7 cos a} where a + iN E Z. , п 2 C = {cì = sin æ, c2 = cos a} where a ,n e Z is also a basis for V. Find the change of coordinates matrix P CEB Ex: 5 P C-B The coordinates of a function f(x) relative to the basis B are [f(x)]B Find the coordinates of f(x) relative to C and find f(x). Ex: 5 [f(x)]c = f(x) = Ex: 5 sin x +

Let V be the vector space of functions spanned by B = {bị = 6 sin æ + 4 cos a, b2 = 2 sin æ + 7 cos a} where a + iN E Z. , п 2 C = {cì = sin æ, c2 = cos a} where a ,n e Z is also a basis for V. Find the change of coordinates matrix P CEB Ex: 5 P C-B The coordinates of a function f(x) relative to the basis B are [f(x)]B Find the coordinates of f(x) relative to C and find f(x). Ex: 5 [f(x)]c = f(x) = Ex: 5 sin x +

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 41CR: Let B={(0,2,2),(1,0,2)} be a basis for a subspace of R3, and consider x=(1,4,2), a vector in the...

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