MathAlgebraLinear algebraSystems of linear equations

Matrix representation of systems of linear equations

Theory

Exchange of columns

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Do these matrices correspond to the same system of linear equations?

Matrices: (121341)\left( \begin{array}{cc|c} 1 & 2 & 1 \\ 3 & 4 & 1\\\end{array} \right) and (341121)\left( \begin{array}{cc|c} 3 & 4 & 1\\1 & 2 & 1 \\\end{array} \right) .

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