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: 27

Answer

$-24$

Work Step by Step

We know that if a matrix is diagonal, its determinant equals the product of the diagonal entries, hence here: $D=3\cdot(-2)\cdot4=-24$
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