\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Given the augmented matrix below, write the equivalent matrix after applying the row operation \(R_2 \leftarrow R_2 - 2R_1\). $$ \left[ \begin{array}{cc|c} 1 & -3 & 1 \\ 2 & 1 & -1 \end{array} \right] $$
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