Linear Algebra: A Modern Introduction

Published by Cengage Learning
ISBN 10: 1285463242
ISBN 13: 978-1-28546-324-7

Chapter 3 - Matrices - 3.1 Matrix Operations - Exercises 3.1 - Page 152: 5

Answer

$\begin{bmatrix}12 & -6 &3 \\-4 & 12 & 14\end{bmatrix}$

Work Step by Step

We have $AB=\begin{bmatrix}3 & 0\\-1 & 5\end{bmatrix} \cdot \begin{bmatrix}4 & -2 & 1\\0 & 2 & 3\end{bmatrix} $ or, $=\begin{bmatrix}12+0 & -6+0 & 3+0 \\-4+0 & 2+10 & -1+15\end{bmatrix}$ After simplification, we obtain: $=\begin{bmatrix}12 & -6 &3 \\-4 & 12 & 14\end{bmatrix}$
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