In Exercises 12, verify that the following matrices and scalars satisfy the stated

Chapter 1, Problem 2

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In Exercises 12, verify that the following matrices and scalars satisfy the stated properties of Theorem 1.4.1. A = 3 1 2 4 , B = 0 2 1 4 , C = 4 1 3 2 , a = 4, b = 7 1. (a) a(BC) = (aB)C = B(aC) (b) A(B C) = AB AC (c) (B + C)A = BA + CA (d) a(bC) = (ab)C

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