# Chapter 2 - Matrices and Systems of Linear Equations - 2.1 Matrices: Definitions and Notation - Problems - Page 121: 8

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#### 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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