Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 8 - Section 8.5 - Determinants and Cramer's Rule - Exercise Set - Page 945: 23

Answer

$\left| \begin{matrix} 3 & 0 & 0 \\ 2 & 1 & -5 \\ 2 & 5 & -1 \\ \end{matrix} \right|=72$.

Work Step by Step

Expand with ${{R}_{1}}$ $\begin{align} & \left| \begin{matrix} 3 & 0 & 0 \\ 2 & 1 & -5 \\ 2 & 5 & -1 \\ \end{matrix} \right|=3\left( -1-\left( -25 \right) \right) \\ & =3\left( 24 \right) \\ & =72 \end{align}$
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