Let L: P1→ P2 be defined by L(p(t)) = tp(t) + p(0). Consider the ordered bases S = [t, 1} and S' - {t + 1, t - 1} for P1, and T = [t2, t, 1} and T' = {t2 + 1, t - 1, t + 1} for P2. Find the representation of L with respect to
(a) S and T
(b) S' and T'.
(c) Find L(-3t - 3) by using the definition of L and the matrices obtained in parts (a) and (b).