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: 3

Answer

a) $AB=\begin{matrix} 1&11 \\2&18\end{matrix}$ b) $AB=\begin{matrix} 2&-2&-3 \\1&0&2 \\9&-4&0 \end{matrix}$ c) $AB=\begin{matrix}-4&15&-4&1 \\-3&10&2&-3 \\0&2&8&6 \\1&-8&18&-13\end{matrix}$

Work Step by Step

a)$\begin{matrix} 0+1&8+3 \\0+2&12+6\end{matrix}=\begin{matrix} 1&11 \\2&18\end{matrix}$ b) $\begin{matrix} 3-1&-2+0&-1-2 \\0+1&0+0&0+2 \\6+3&-4+0&-2+2\end{matrix}=\begin{matrix} 2&-2&-3 \\1&0&2 \\9&-4&0 \end{matrix}$ c) $\begin{matrix}-4+0&12+3&8-12&-8+9 \\-3+0&9+1&6-4&-6+3 \\0+0&0+2&0+8&0+6 \\1+0&-3-5&-2+20&2-15\end{matrix}=\begin{matrix}-4&15&-4&1 \\-3&10&2&-3 \\0&2&8&6 \\1&-8&18&-13\end{matrix}$
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