Question: 1. (2 points) Let T: P2 P3 be the linear transformation defined by 3x T(p(x)) = (x + 1)p(x) + p'(1) + 2p(t) dt.

1. (2 points) Let T: P2 P3 be the linear transformation defined by 3x T(p(x)) = (x + 1)p(x) + p'(1) + 2p(t) dt. Find [7], the matrix of T relative to the standard bases of P ({1,2,2}) and Ps ({1, x, x, r}).

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