Answer
This addition of a constant multiple of row 1 to row 2 does not affect the determinant.
Work Step by Step
$\begin{vmatrix}3&2\\5&4\end{vmatrix}=12-10=(12-10)+(6k-6k)=(12+6k)-(10+6k)=\begin{vmatrix}3&2\\5+3k&4+2k\end{vmatrix}$
Linear Algebra and Its Applications (5th Edition)
by Lay, David C.; Lay, Steven R.; McDonald, Judi J.
Published by
Pearson
ISBN 10:
032198238X
ISBN 13:
978-0-32198-238-4
Chapter 3 - Determinants - 3.1 Exercises - Page 170: 22
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