B = (1. x + 1,x² + x) forms an ordered basis for P3. Give the B-coordinate vector of each of File Preview ing vectors. That is, for each of the following p determine what is [p]. VII (a) 2+3x+4x² (b) 5+7x+3x² (c) 1 + x (d) 2 + x Let 3 be the ordered basis for P3 from the previous problem and T: P3 → P3 be given by p(x). Find a matrix A € R³×³ so that [T(p)] = A[p] T(p) = = for all polynomials p € P3.

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