) (a) Find the matrix of the linear transformation T : P2 P3, T[p(x)] := xp(x) corresponding to the bases B := {1, 1x, 1x^2} and D = {1, x, x^2 , x^3} of P2 and P3 respectively.

(b) Find the change matrix P = PB0B and the matrices MB0 (F) and MB(F) for the linear operator F : R 3 R 3 , F([a b c] T ) = [ab b+c c2a] ^T , where B0 := {[1 1 0]^T , [1 0 1]^T , [0 1 0]6T } and B = E is the standard basis of R 3