4. (a) If T : M2x2(RA) ~+ Mara(R) is given by T = a b C d = atb atc atd b + c b+d find the matrix that represents T relative to the basis B = (18). 1 1 1 1 0 1 1 0 0 0 0 of Maze(R and the basis of M213 (R). (b) Let T : R2 - R2 be defined by T(a, b) = (3a + b, a - 3b). Let B = {(1,3), (1, 2)}, let C = {(1, 1), (2, 1) } find [T]B, [T]c and show [T]c = Q-1[T]BQ for some invertible matrix