## Algebra 2 (1st Edition)

Published by McDougal Littell

# Chapter 3 Linear Systems and Matrices - 3.7 Evaluate Determinants and Apply Cramer's Rule - 3.7 Exercises - Skill Practice - Page 207: 7

8

#### 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: $$\det \begin{pmatrix}10&-6\\ -7&5\end{pmatrix} \\ 10\cdot \:5-\left(-6\right)\left(-7\right) \\ 8$$

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