Answer
$\begin{bmatrix}
-2&3 &-1 & 0\\
1 & 1 & -1 &5 \\
1 & -1 &1 &2
\end{bmatrix}$.
Work Step by Step
The given system is
$\left\{\begin{matrix}
-2x &+3y &-z& = &0 \\
x& +y & -z&= &5 \\
x&-y&+z&=&2
\end{matrix}\right.$
For the augmented matrix
First column $=$ coefficients of $x$.
Second column $=$ coefficients of $y$
third column $=$ coefficients of $z$
and fourth column $=$ the right-hand side.
The augmented matrix is
$\begin{bmatrix}
-2&3 &-1 & 0\\
1 & 1 & -1 &5 \\
1 & -1 &1 &2
\end{bmatrix}$.
