Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Chapter 3 - Determinants - 3.2 Determinants and Elementary Operations - 3.2 Exercises - Page 118: 28


$$ \left[ \begin{array}{ccc} 3&0&6\\ 2&-3&4\\1&-2&-2\end{array} \right]=0. $$

Work Step by Step

Given $$ \left[ \begin{array}{ccc} 3&0&6\\ 2&-3&4\\1&-2&-2\end{array} \right]. $$ Since the third column is the multiple of the first column by $2$, then we have $$ \left[ \begin{array}{ccc} 3&0&6\\ 2&-3&4\\1&-2&-2\end{array} \right]=0. $$
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