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 - Study Summary - Practice Exercises - Page 569: 11



Work Step by Step

Using Cramer's rule to find the determinant of the matrix, we obtain: $$ \det \begin{pmatrix}1&2&-1\\ 2&0&3\\ 0&1&5\end{pmatrix}\\ 1\cdot \det \begin{pmatrix}0&3\\ 1&5\end{pmatrix}-2\cdot \det \begin{pmatrix}2&3\\ 0&5\end{pmatrix}-1\cdot \det \begin{pmatrix}2&0\\ 0&1\end{pmatrix}\\ 1\cdot \left(-3\right)-2\cdot \:10-1\cdot \:2\\ -25$$
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