\begin{bmatrix}
0 &  0 & 1 & -1 & -1 & 0 &  0 &  0 \\
0 &  0 & 0 &  0 &  0 & 1 & -1 & -1 \\
0 &  0 & 0 &  0 &  1 & 0 &  0 &  0 \\
0 &  0 & 0 &  0 &  0 & 0 &  0 &  1 \\
1 & -1 & 0 &  0 &  0 & 0 &  0 &  0
\end{bmatrix}