#### Answer

$\begin{bmatrix}
0 & 0 & 0\\
0 & 0 & 0\\
0 & 0 & 0\\
\end{bmatrix}$

#### Work Step by Step

$a_{ji}=a_{ij}~and~a_{ji}=-a_{ij}$. That is, $a_{ij}=-a{ij}$.
We can conclude that:
$a_{ij}=0$
The only possibility is:
$\begin{bmatrix}
0 & 0 & 0\\
0 & 0 & 0\\
0 & 0 & 0\\
\end{bmatrix}$