Let P, be the vector space of all polynomials of degree n or less in the variable z. Let D: P3 + P2 be the linear transformation defined by D(p(x)) = p'(x). That is, D is the derivative operator. Let...

Extracted text: Let P, be the vector space of all polynomials of degree n or less in the variable z. Let D: P3 + P2 be the linear transformation defined by D(p(x)) = p'(x). That is, D is the derivative operator. Let {1, x, x², x*}, {1, z, z²}, B be ordered bases for Pz and Pz, respectively. Find the matrix [D]E for D relative to the basis B in the domain and C in the codomain. [D]E =