Solved: (Calculus required) Let D: P2 P2 be the differentiation operator D(p) = p (x)

Chapter 8, Problem 18

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(Calculus required) Let D: P2 P2 be the differentiation operator D(p) = p (x). (a) Find the matrix for D relative to the basis B = {p1, p2, p3} for P2 in which p1 = 2, p2 = 2 3x, p3 = 2 3x + 8x2. (b) Use the matrix in part (a) to compute D(6 6x + 24x2).

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