Answer
$-6$
Work Step by Step
We know that if $A$ and $B$ are $n\times n$ matrices, then $det(AB)=det(A)det(B)$
Hence $det(AB)=det(A)det(B)=3\cdot(-2)=-6$
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: 47
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