(BH) Let L: P1 → P2 be defined by L(p(x)) = xp(x) + p(0). Consider the %3D ordered bases S = {x, 1}, S' = {x +1, x – 1} for P1 and the ordered bases T = {x²,x, 1}, T' = {x² + 1, x – 1, x + 1} for P2. Find the representation of L with respect to (a) S and T. (b) S' and T'. (c) Find L(-3x – 3) using the definition of L and the matrices obtained in parts (a) and (b). |

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