Answer
False
Work Step by Step
If A and B are skew-symmetric matrix then it is not necessary for (AB) to be skew symmetric.
For example, on the left are two skew-symmetric matrices while on right is their product.
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 - 2.2 Matrix Algebra - True-False Review - Page 134: d
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