Question: 2. Let V = Span {ecos(z),esin(z)} and let D : V V be the differentiation operator D(f) = f'(z). [Don't forget that % cos(x) =

2. Let V = Span {ecos(z),esin(z)} and let D : V V be the differentiation operator D(f) = f'(z). [Don't forget that % cos(x) = sin(z) and % sin(x) = cos(x).] (a) Find the matrix [D]g representing D with respect to the basis = [e\" cos(z), e\" sin(z)]. (b) Find a basis P for which [D]p is diagonal
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