Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 8 - Section 8.5 - Determinants and Cramer's Rule - Exercise Set - Page 945: 3

Answer

$-29$

Work Step by Step

The general formula to calculate the determinate of a $2 \times 2$ matrix which has 2 rows and 2 coulmns is $D=\begin{vmatrix}a&b\\c&d\end{vmatrix}=ad-bc$ Now, $D=\begin{vmatrix}-4&1\\5&6\end{vmatrix}=-24-5=-29$
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