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: 48

Answer

$9$

Work Step by Step

We know that if $A$ and $B$ are $n\times n$ matrices, then $det(AB)=det(A)det(B)$ Hence $det(A^2)=det(A)det(A)=3\cdot3=9$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.