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In this example, the unique reduced row echelon form can be obtained by subtracting three times the second row from the first row :
: <math> \begin{bmatrix} 1 & 3 & -1 \\ 0 & 1 & 7 \\ \end{bmatrix}
\xrightarrow{\text{subtract
\begin{bmatrix} 1 & 0 & -22 \\ 0 & 1 & 7 \\ \end{bmatrix}. </math>
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