Diagnostic Test 3 Diagnostic Test - Linear Algebra

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

Diagnostic Test 3

Find the inverse using row operations

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

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