\begin{bmatrix}
1 &amp; -1 &amp; 1 &amp; -1 &amp; 0\\
0 &amp; 1 &amp; -1 &amp; 1 &amp; 0\\
0 &amp; 0 &amp; 1 &amp; 0 &amp; 0\\
0 &amp; 0 &amp; 2 &amp; 2 &amp; 2\\
\end{bmatrix}