Let T1 : R2 R3 and T2 : R3 R2 be the linear transformations with matrices A = 2 1 0 1 1

Chapter 6, Problem 3

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Let T1 : R2 R3 and T2 : R3 R2 be the linear transformations with matrices A = 2 1 0 1 1 1 , B = 0 4 3 1 01 , respectively. Find T1T2, Ker(T1T2), Rng(T1T2), T2T1, Ker(T2T1), and Rng(T2T1).

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