Consider the subspace W of D, given by W = span(e2x, e2x cos x, e2x sin x).       (a) Find the matrix of D with respect to B = {e2x, e2x cos x, e2x sin x}.                  (b) Compute the derivative of f(x) = 3e2x - e2xcosx+ 2e2x sin x indirectly, using and verify that it agrees with f' (x) as computed directly.

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A: Since you have asked multiple questions, we will answer the questions (a) and (b) for you. If you…

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