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: 12



Work Step by Step

We use Cramer's rule to find the determinant of the matrix. Doing this, we obtain: $$ \det \begin{pmatrix}2&4&-2\\ 1&0&2\\ 0&1&3\end{pmatrix}\\ 2\cdot \det \begin{pmatrix}0&2\\ 1&3\end{pmatrix}-4\cdot \det \begin{pmatrix}1&2\\ 0&3\end{pmatrix}-2\cdot \det \begin{pmatrix}1&0\\ 0&1\end{pmatrix}\\ -18$$
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