Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 8 - Systems of Linear Equations and Problem Solving - 8.7 Determinants and Cramer's Rule - 8.7 Exercise Set - Page 557: 15



Work Step by Step

We use Cramer's rule to find the determinant of the matrix. Doing this, we obtain: $$ \det \begin{pmatrix}-4&-2&3\\ -3&1&2\\ 3&4&-2\end{pmatrix}\\ -4\cdot \det \begin{pmatrix}1&2\\ 4&-2\end{pmatrix}-\left(-2\right)\det \begin{pmatrix}-3&2\\ 3&-2\end{pmatrix}+3\cdot \det \begin{pmatrix}-3&1\\ 3&4\end{pmatrix}\\ -4\left(-10\right)-\left(-2\right)\cdot \:0+3\left(-15\right) \\ -5$$
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