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: 15

Answer

Multiply the first row by $-5$ and then add the result to the second row.

Work Step by Step

Given $$ \left|\begin{array}{rrr}{1} & {-3} & {2} \\ {5} & {2} & {-1} \\ {-1} & {0} & {6}\end{array}\right|=\left|\begin{array}{rrr}{1} & {-3} & {2} \\ {0} & {17} & {-11} \\ {-1} & {0} & {6}\end{array}\right|. $$ In the L.H.S, multiply the first row by $-5$ and then add the result to the second row, we get the R.H.S.
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