Answer
$=-1$.
Work Step by Step
The given determinant is
$\begin{vmatrix}
3 & -2\\
7& -5
\end{vmatrix}$
Cross multiply and subtract as shown below.
$=3\cdot (-5)- 7\cdot (-2)$
Clear the parentheses.
$=-15+14$
Simplify.
$=-1$.
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 9 - Section 9.1 - Exponential Functions - Exercise Set - Page 675: 82
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