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: 14



Work Step by Step

We use Cramer's rule to find the determinant of the matrix. Doing this, we obtain: $$ \det \begin{pmatrix}5&2&-2\\ 0&1&-1\\ 3&3&1\end{pmatrix}\\ 5\cdot \det \begin{pmatrix}1&-1\\ 3&1\end{pmatrix}-2\cdot \det \begin{pmatrix}0&-1\\ 3&1\end{pmatrix}-2\cdot \det \begin{pmatrix}0&1\\ 3&3\end{pmatrix}\\ 5\cdot \:4-2\cdot \:3-2\left(-3\right) \\ 20$$
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