Let T : P2 P3 be the linear transformation defined by T(p(x)) = xp(x 3), that is, T(c0 +
Chapter 8, Problem 8(choose chapter or problem)
Let T : P2 P3 be the linear transformation defined by T(p(x)) = xp(x 3), that is, T(c0 + c1x + c2x2 ) = x c0 + c1(x 3) + c2(x 3) 2 (a) Find [T ]B ,B relative to the bases B = {1, x, x2} and B = {1, x, x2, x3}. (b) Use the three-step procedure illustrated in Example 2 to compute T(1 + x x2). (c) Check the result obtained in part (b) by computing T(1 + x x2) directly
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