Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 3 - Determinants - 3.2 Properties of Determinants - True-False Review - Page 218: d

Answer

True

Work Step by Step

$(\det A^2)=(\det AA)=(\det A)(\det A)=(\det A)^2$ Since A is an $n×n$ matrix with real entries, $(\det A)^2$ must be greater than or equal to 0.
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