Let V be the vector space of functions spanned by B {b1 = 8 sin x + 7 cos x, b2 = 2 sin x + 6 cos x} where a + 2 ,N E Z. = C = {c1 = sin x, c2 = cos x} where x + NT n E Z is also a basis for V. Find the change 2 of coordinates matrix P CEB Ex: 4 : P CEB The coordinates of a function f(x) relative to the basis B are [f(x)]B 9. Find the coordinates of f (x) relative to C and find f(x). Ex: 4 [f(x)]c: f(x) = Ex: 4 sin x + cos x

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