Answer
$33$
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,
$D=\begin{vmatrix}-5&-1\\-2&-7\end{vmatrix}=35-2=33$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
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: 7
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