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Math Calculators
Gauss-Jordan Elimination Calculator (2×2)
Solve a 2×2 system of linear equations by reducing its augmented matrix to reduced row echelon form.
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Reduced row echelon form
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About the Gauss-Jordan Elimination Calculator (2×2)
Gauss-Jordan elimination solves a system of equations by transforming its augmented matrix into reduced row echelon form — an identity matrix on the left, with the solution values on the right.
Method: Normalize each pivot row to have a leading 1, then use row operations to eliminate every other entry in that pivot's column, working through both rows until the left side becomes the identity matrix.
This systematic method scales naturally to larger systems and is the basis for how computers solve linear systems numerically.
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