Problem 3. a. Let T : PI(R) - R2 be defined by T(a + bx) = (5a + 2b, 2a +b). Let B = { 1, x } and y = { (1, 0), (0, 1) } be standard ordered bases for Pi (R) and R2, respectively. Compute [T] . Is T invertible? If so, find T-!. b. Let T : P2( R) - R- be defined by T(f (x)) = (f(-1), f(3)). Let a = {1, x, x }, B = {(1, 0), (0, 1) } and y = { (1, 1), (1, -1) }. Find the representation matrices [7]% and [7 ]%. Find the appropriate matrix Q such that [T la = QIT12