Let T : R2 R3 be defined by T x1 x2 ! = x1 + 2x2 x1 0 (a) Find the matrix [T ]B ,B

Chapter 8, Problem 5

(choose chapter or problem)

Let T : R2 R3 be defined by T x1 x2 ! = x1 + 2x2 x1 0 (a) Find the matrix [T ]B ,B relative to the bases B = {u1, u2} and B = {v1, v2, v3}, where u1 = 1 3 , u2 = 2 4 v1 = 1 1 1 , v2 = 2 2 0 , v3 = 3 0 0 (b) Verify that Formula (5) holds for every vector in R2.

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