Question: plz solve in A4 size Work Problem 3 (20 points): Let L : P1 - P2 be defined by L(p(t)) = -612p' (t) + p(3),

plz solve in A4 size

Work Problem 3 (20 points): Let L : P1 - P2 be defined by L(p(t)) = -612p' (t) + p(3), and consider the ordered bases S = {1, t} and T = {1, t, t2 } for P1 and P2, respectively. (1) [10 pts] Find the matrix A associated with L. Also, find L(-3t + 2) using two different ways. (2) [10 pts] We now consider, the ordered bases S = {t, 1} and T = {t2, t, 1 } for P1 and P2, respectively. Find the matrix B associated with L. Also, find L(-3t + 2) using the matrix B

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