Answer
See solution
Work Step by Step
$(AB)^T=B^TA^T=BA=AB$,which shows us that $AB$ is symmetric, which means it must be orthogonally diagonalizable.
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 7 - Symmetric Matrices and Quadratic Forms - 7.1 Exercises - Page 402: 30
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