Let L: P1 --> P2 be define be 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 : and the matrices obtained in parts (a) and (b).