Let V be the vector space of functions spanned : {b] = 3 sin x + 8 cos x, b2 = 2 sin x + 7 cos x}where x , n E Z. B = 2 C = {c1 sin x, c2 = cos x} where x + n E Z is also a basis for V. Find the change of coordinates matrix P C-B Ex: 4 : P = CEB 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: 4 [f(x)]e f(x) = Ex: 4 sin x + COs x

Let V be the vector space of functions spanned : {b] = 3 sin x + 8 cos x, b2 = 2 sin x + 7 cos x}where x , n E Z. B = 2 C = {c1 sin x, c2 = cos x} where x + n E Z is also a basis for V. Find the change of coordinates matrix P C-B Ex: 4 : P = CEB 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: 4 [f(x)]e f(x) = Ex: 4 sin x + COs x

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.3: Subspaces Of Vector Spaces

Problem 49E

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