Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 10 - Review Exercises - Page 763: 104

Answer

$16$

Work Step by Step

The general form of a matrix of order $ 2 \times 2$ is: $det \ A=\begin{bmatrix} p & q \\ r & s\end{bmatrix}=ps-qr$ Since Column-3 has the most zeroes, we choose Column-1. Now, $det \ A =1 \begin{bmatrix} 2 & 3 \\ -5 & -1 \end{bmatrix} -0+3 \begin{bmatrix} -1 & -2 \\ 2 & 3 \end{bmatrix} =-2+15-0+3(-3+4)=16$
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