Answer
True
Work Step by Step
If a matrix $A$ is both symmetric and skew-symmetric then $A$ = $A^{T}$ = -$A$.
$A$ = -$A$ is only possible if all entries are zero.
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 2 - Matrices and Systems of Linear Equations - 2.1 Matrices: Definitions and Notation - Problems - Page 121: 9
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