Answer
See solution.
Work Step by Step
Symmetric matrices are matrices that are equal to their transpose.
$(B^TAB)^T=B^TA^T(B^T)^T=B^TAB$
$(B^TB)^T=B^T(B^T)^T=B^TB$
$(BB^T)^T=(B^T)^TB^T=BB^T$
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: 28
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