Diagnostic Test 3

$\begin{bmatrix} 2 &7 &1 -1 &5 &3 \\ 2& 2& -1\end{bmatrix}$

$\begin{align*}&\text{Find the nontrivial solutions for the system of equations: }&\begin{bmatrix}-10&2&-11-20&11&-20\end{bmatrix}\begin{bmatrix}x\y\z\end{bmatrix}=\begin{bmatrix}0\0\end{bmatrix}\end{align*}$