Answer
$$-6$$
Work Step by Step
We evaluate the determinant of the matrix using Cramer's rule, which is listed on page 203. Doing this, we find:
$$\det \begin{pmatrix}2&-1\\ 4&-5\end{pmatrix} \\ 2\left(-5\right)-\left(-1\right)\cdot \:4
\\ -6$$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 3 Linear Systems and Matrices - 3.7 Evaluate Determinants and Apply Cramer's Rule - 3.7 Exercises - Skill Practice - Page 207: 3
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