Let L be the linear operator mapping R3 into R3 defined by L(x) = Ax, where A = 3 1 2 2

Chapter 4, Problem 4

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Let L be the linear operator mapping R3 into R3 defined by L(x) = Ax, where A = 3 1 2 2 0 2 2 1 1 and let v1 = 1 1 1 , v2 = 1 2 0 , v3 = 0 2 1 Find the transition matrix V corresponding to a change of basis from {v1, v2, v3} to {e1, e2, e3}, and use it to determine the matrix B representing L with respect to {v1, v2, v3}.

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