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Show that

(a) AB AC = A(B C); and

(b) BA CA = (B C)A.

[In general, if A is an m Ã— n matrix and B, C are n Ã— p matrices, then AB AC = A(B C). For n Ã— p matrices B, C and a p Ã— q matrix A, it follows that BA CA = (B C)A. These two results are called the Distributive Laws for Matrix Multiplication over Matrix Addition.]

Let

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