Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 10 - 10.4 - The Determinant of a Square Matrix - 10.4 Exercises - Page 743: 50

Answer

$3$

Work Step by Step

The determinant of a $2 \times 2$ matrix can be computed by using the formula $det =ps-qr$ where $det =\begin{vmatrix}p & q \\r & s\end{vmatrix}$ $-2\begin{vmatrix} -1 & 0` \\1 & 4\end{vmatrix}-1 \begin{vmatrix} 2 &3 \\ 1 & 4\end{vmatrix}+0=-2(-4-0)-1(8-3)$ or, $=8-5$ or, $=3$
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