Linear Algebra: A Modern Introduction

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



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 $-1$.
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