Answer
True
Work Step by Step
The statement is exactly the same with Lemma 7.5.9. Let $v$ and $w$ be vectors in $R^n$ (or $C^n$), and let $A$ be an $n \times n$ real symmetric matrix. Then $=$. Hence, the statement is true.
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 7 - Eigenvalues and Eigenvectors - 7.5 Orthogonal Diagonalization and Quadratic Forms - True-False Review - Page 473: e
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