Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Appendix E - Exercise Set - Page 1005: 24

Answer

$30$

Work Step by Step

The elements of the first row are $0, 1$ and $2$. The first row of the array of signs is $ + , - , +$ . $$\begin{vmatrix} 0 & 1 & 2\\ 3 & -1 & 2\\ 3 & 2&-2 \end{vmatrix}=0\begin{vmatrix} -1 & 2 \\ 2 & -2 \end{vmatrix}-1\begin{vmatrix} 3 & 2 \\ 3& -2 \end{vmatrix}+2\begin{vmatrix} 3 & -1 \\ 3& 2 \end{vmatrix}$$ $$=0(2-4)-1(-6-6)+2(6-(-3))=0+12+18=30$$
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