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: 19

Answer

The fifth column is the multiple of the first column by $2$.

Work Step by Step

Given $$ \left|\begin{array}{rrrrr}{2} & {1} & {-1} & {0} & {4} \\ {1} & {0} & {1} & {3} & {2} \\ {3} & {6} & {1} & {-3} & {6} \\ {0} & {4} & {0} & {2} & {0} \\ {-1} & {8} & {5} & {3} & {-2}\end{array}\right|=0. $$ The fifth column is the multiple of the first column by $2$.
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