Let T : P2 P3 be the linear transformation defined by T(p(x)) = xp(x). (a) Find the
Chapter 8, Problem 1(choose chapter or problem)
Let T : P2 P3 be the linear transformation defined by T(p(x)) = xp(x). (a) Find the matrix for T relative to the standard bases B = {u1, u2, u3} and B = {v1, v2, v3, v4} where u1 = 1, u2 = x, u3 = x2 v1 = 1, v2 = x, v3 = x2, v4 = x3 (b) Verify that the matrix [T ]B ,B obtained in part (a) satisfies Formula (5) for every vector x = c0 + c1x + c2x2 in P2.
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