Differential Equations and Linear Algebra (4th Edition)

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: 8



Work Step by Step

If $A$ is skew symmetric then $A^{T}$ = -$A$. The diagonal elements of $A^{T}$ and $A$ are the same. And since $A$ = -$A$, both of the entries must have same diagonal elements. This is only possible if the diagonal elements are 0.
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