Answer
$\left[\begin{array}{rrrr}
-1 & 0 & 1 & -1\\
0 & 3 & -2 & 7\\
1 & -2 & 3 & 3
\end{array}\right]$
Work Step by Step
The augmented matrix has rows representing each equation.
Three equations, three rows.
Each row contains the coefficients of the variables on the LHS,
followed by the constant of the RHS:
$\left[\begin{array}{rrrr}
-1 & 0 & 1 & -1\\
0 & 3 & -2 & 7\\
1 & -2 & 3 & 3
\end{array}\right]$