Let T1: M22 R and T2: M22 M22 be the linear transformations given by T1(A) = tr(A) and

Chapter 8, Problem 15

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Let T1: M22 R and T2: M22 M22 be the linear transformations given by T1(A) = tr(A) and T2(A) = AT . (a) Find (T1 T2)(A), where A = a b c d . (b) Can you find (T2 T1)(A)? Explain.

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