Let T : M22 R2 be the linear transformation given by T a b c d = a + b + c d and let B

Chapter 8, Problem 16

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Let T : M22 R2 be the linear transformation given by T a b c d = a + b + c d and let B be the standard basis for M22, B the standard basis for R2, and B = 1 1 , 1 0 3 (a) Find [T ]B ,B and [T ]B ,B. (b) Compute T 1 2 3 4 using the three-step procedure that was illustrated in Example 2 for both matrices found in part (a). (c) Check the results obtained in part (b) by computing T 1 2 3 4 directly. 17. (Calcul

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