T: P1 → P1 is defined by T(a0 + a1x) = a0 + a1{x + 1); B = {p1, p2} and B′ = {q1, q2}, where p1 = 6 + 3x, p2 = 10 + 2x, q1 = 2, q2 = 3 + 2x.
Find the matrix of T with respect to the basis B, and use Theorem 8.5.2 to compute the matrix of T with respect to the basis B′.