Linear Algebra and Its Applications (5th Edition)

Published by Pearson
ISBN 10: 032198238X
ISBN 13: 978-0-32198-238-4

Chapter 3 - Determinants - 3.2 Exercises - Page 177: 2

Answer

Given a square matrix, $A$, if a multiple of one row of $A$ is added to another row to produce a matrix $ B$, then det $B$ = det $A$.

Work Step by Step

Given a square matrix, $A$, if a multiple of one row of $A$ is added to another row to produce a matrix $ B$, then det $B$ = det $A$. In this case, 3 times row 1 was added to row 3 to create matrix $B$. Thus, the determinants are the same.
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