Answer
See below
Work Step by Step
According to property P9:
$\det(A)^3\\=\det(A)\det(A)\det(A)\\=(\det(A))^3\\=0$
Hence, $\det(A)=0$
According to Theorem 3.2.5, $A$ is not invertible.
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
Published by
Pearson
ISBN 10:
0-32196-467-5
ISBN 13:
978-0-32196-467-0
Chapter 3 - Determinants - 3.2 Properties of Determinants - Problems - Page 221: 55
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
