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\left( {\begin{array}{*{20}{c}}5 & 1 & 1 & {\left| {\,\,\,\,1} \right.}\\3 & 2 & 1 & {\left| { - 2}\right.}\\2 & 1 & 0 & {\left| {\,\,\,\,1} \right.}\\\end{array}} \right)\, \to \left( {\begin{array}{*{20}{c}}1 & 1 & 5 & {\left| {\,\,\,\,1} \right.}\\1 & 2 & 3 & {\left| { - 2}\right.}\\0 & 1 & 2 & {\left| {\,\,\,\,1} \right.}\\\end{array}} \right)\, \to \left( {\begin{array}{*{20}{c}}1 & 1 & 5 & {\left| {\,\,\,\,1} \right.}\\0 & 1 & { - 2} & {\left| { - 3} \right.}\\0 & 1 & 2 & {\left| {\,\,\,\,1} \right.}\\\end{array}} \right)\, \to \left( {\begin{array}{*{20}{c}}1 & 1 & 5 & {\left| {\,\,\,\,1} \right.}\\0 & 1 & { - 2} & {\left| { - 3} \right.}\\0 & 0 & 4 & {\left| {\,\,\,\,4} \right.}\\\end{array}} \right)