Answer
$-1$
Work Step by Step
If we swap the second and third rows we get the identity matrix, which has a determinant of $1$. Swapping the rows made the sign change, so the original matrix has a determinant of $-1$.
Linear Algebra: A Modern Introduction
by Poole, David
Published by
Cengage Learning
ISBN 10:
1285463242
ISBN 13:
978-1-28546-324-7
Chapter 4 - Eigenvalues and Eigenvectors - 4.2 Determinants - Exercises 4.2 - Page 282: 32
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