Answer
$\begin{bmatrix}
-3&5 &-2 & 0\\
4 & -1 & -3 &-7 \\
1 & -6 &3 &12
\end{bmatrix}$.
Work Step by Step
The given system is
$\left\{\begin{matrix}
-3x &+5y &-2z& = &0 \\
4x& -y & -3z&= &-7 \\
x&-6y&+3z&=&12
\end{matrix}\right.$
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
$\begin{bmatrix}
-3&5 &-2 & 0\\
4 & -1 & -3 &-7 \\
1 & -6 &3 &12
\end{bmatrix}$.
