Let {v1, v2} be a basis for the vector space V, and suppose that T1 : V V and T2 : V V

Chapter 6, Problem 7

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Let {v1, v2} be a basis for the vector space V, and suppose that T1 : V V and T2 : V V are the linear transformations satisfying T1(v1) = v1 v2, T1(v2) = 2v1 + v2 T2(v1) = v1 + 2v2, T2(v2) = 3v1 v2. Determine (T2T1)(v) for an arbitrary vector v in V.

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