Show that (a) AB + AC = A(B + C); and (b) BA + CA = (B
Question:
(a) AB + AC = A(B + C); and
(b) BA + CA = (B + C)A.
[In general, if A is an m à n matrix and B, C are n à p matrices, then AB + AC = A(B + C). For n à p matrices B, C and a p à 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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Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
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