Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 10 - Systems of Equations and Inequalities - Section 10.4 Matrix Algebra - 10.4 Assess Your Understanding - Page 776: 2

Answer

True

Work Step by Step

Let us consider that $A$ and $B$ represent two $p \times q$ matrices and their sum, $A+B,$ is defined as the $p \times q$ matrix made by adding the corresponding entries $a_{ij}$ of $A$ and $b_{ij}$ of $B$. We know that the addition of real numbers is commutative and this means that we can write: $a_{ij}+b_{ij}=b_{ij}+a_{ij}$ and So, $A+B=B+A$ Thus, the statement is true.
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