Let Pn be the vector space of all polynomials of degree n or less in the variable x. Let D: P3 → P2 be the linear transformation defined by D(p(x)) = p'(x). That is, D is the derivative operator. Let B C {1, x, x², x³}, {-2+x+x²,2- 2x - x², 1+x}, be ordered bases for P3 and P2, respectively. Find the matrix [D] for D relative to the basis B in the domain and C in the codomain. [D] = 0000 0000 0000

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