Answer
$\begin{bmatrix}
1&-1 &0 \\
-3 & 4 & -1
\end{bmatrix}$.
Work Step by Step
The given system is
$\left\{\begin{matrix}
x &-y & = &0 \\
-3x& +4y & = &-1
\end{matrix}\right.$
For the augmented matrix
First column $=$ coefficients of $x$.
Second column $=$ coefficients of $y$
and third column $=$ the right-hand side.
The augmented matrix is
$\begin{bmatrix}
1&-1 &0 \\
-3 & 4 & -1
\end{bmatrix}$.
