Answer
$54$
Work Step by Step
We apply Theorem 2, which states that the determinant of a triangular matrix equals the product of the entries along the principal diagonal. Hence, $\det A=3\cdot(-2)\cdot3\cdot(-3)=54$.
Linear Algebra and Its Applications (5th Edition)
by Lay, David C.; Lay, Steven R.; McDonald, Judi J.
Published by
Pearson
ISBN 10:
032198238X
ISBN 13:
978-0-32198-238-4
Chapter 3 - Determinants - 3.1 Exercises - Page 170: 12
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