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 - Review Exercises: Chapter 8 - Page 571: 34

Answer

9

Work Step by Step

We find the determinant of the matrices using the rules of matrices. Doing this, we find: $$ \det \begin{pmatrix}2&3&0\\ 1&4&-2\\ 2&-1&5\end{pmatrix}\\ 2\cdot \det \begin{pmatrix}4&-2\\ -1&5\end{pmatrix}-3\cdot \det \begin{pmatrix}1&-2\\ 2&5\end{pmatrix}+0\cdot \det \begin{pmatrix}1&4\\ 2&-1\end{pmatrix}\\\ 2\cdot \:18-3\cdot \:9+0\cdot \left(-9\right)\\ 9$$
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