Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 8 - Section 8.3 - Matrix Operations and Their Applications - Concept and Vocabulary Check - Page 916: 5

Answer

The provided statement is true.

Work Step by Step

Note that the two matrices $A$ and $B$ of the same order are commutative with respect to addition only when $A+B=B+A$. Under addition, only the corresponding elements are added and the elements belong to real numbers. Since a real number satisfies the commutative property with respect to addition, therefore, matrix addition is commutative. Hence, the provided statement is true.
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