The augmented matrix is a matrix that includes the coefficients of the variables and the constants on the other side of the equations. The augmented matrix for this system is:
$$
\begin{bmatrix}
1 & 1 & 1 & 1 & 3 \\
-1 & 1 & -2 & 1 & -2 \\
0 & 2 & -1 & 1 & 1 \\
1
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