Answer
$33$
Work Step by Step
We know that for a matrix
\[
\left[\begin{array}{rr}
a & b \\
c &d \\
\end{array} \right]
\]
the determinant, $D=ad-bc.$
Hence here $D=(-5)\cdot(-7)-(-2)\cdot(-1)=35-2=33.$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 3 - Section 3.5 - Determinants and Cramer’s Rule - Exercise Set - Page 240: 7
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