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: 16

Answer

Multiply the second column by $-5$ and add it to the third column.

Work Step by Step

Given $$ \left|\begin{array}{rrr}{3} & {2} & {4} \\ {-2} & {1} & {5} \\ {5} & {-7} & {-20}\end{array}\right|=\left|\begin{array}{rrr}{3} & {2} & {-6} \\ {-2} & {1} & {0} \\ {5} & {-7} & {15}\end{array}\right|. $$ In the L.H.S, multiply the second column by $-5$ and add it to the third column we get the R.H.S.
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