Answer
$-7$
Work Step by Step
This matrix is equal to the original matrix, but with the first two rows swapped. Hence, by Theorem 3(b), the new determinant is the negative of the old determinant.
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 - 3.2 Exercises - Page 177: 18
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