Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 2 - Section 2.6 - Matrices - Exercises - Page 183: 2

Answer

a) $A+B=\begin{matrix} 0&3&9 \\1&4&-1 \\2&-5&-3\end{matrix}$ b) $A+B=\begin{matrix} -4&9&2&10 \\-4&-5&4&0\end{matrix}$

Work Step by Step

We can add two matrices by summing the (n, m)th element in one with the (n, m)th element in the other. a) $A+B=\begin{matrix} 1&0&4 \\-1&2&2 \\ 0&-2&-3\end{matrix}+\begin{matrix} -1&3&5 \\2&2&-3 \\2&-3&0\end{matrix}=\begin{matrix} 0&3&9 \\1&4&-1 \\2&-5&-3\end{matrix}$ b) $A+B=\begin{matrix} -1&0&5&6 \\-4&-3&5&-2\end{matrix}+\begin{matrix}-3&9&-3&4 \\0&-2&-1&2\end{matrix}=\begin{matrix} -4&9&2&10 \\-4&-5&4&0\end{matrix}$
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