. Let T : P2 M22 be the linear transformation defined by T (p) = p(0) p(1) p(1) p(0) let
Chapter 8, Problem 15(choose chapter or problem)
. Let T : P2 M22 be the linear transformation defined by T (p) = p(0) p(1) p(1) p(0) let B be the standard basis for M22, and let B = {1, x, x2}, B = {1, 1 + x, 1 + x2} be bases for P2. (a) Find [T ]B,B and [T ]B,B . (b) For the matrices obtained in part (a), compute T(2 + 2x + x2) using the three-step procedure illustrated in Example 2. (c) Check the results obtained in part (b) by computing T(2 + 2x + x2) directly.
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