Answer
See solution
Work Step by Step
Let P be an invertible matrix such that $B=P^{-1}AP$.
$det(B)=det(P^{-1}AP)=det(P^{-1})det(A)det(P)=$
$det(P^{-1})det(P)det(A)=det(P^{-1}P)det(A)=det(A)$
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 5 - Eigenvalues and Eigenvectors - 5.2 Exercises - Page 282: 24
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