Math · Linear Algebra

Gauss-Jordan Elimination Calculator

Solve a system of linear equations step-by-step using Gauss-Jordan elimination, with the reduced row echelon form (RREF) and solution classification.

Number of equations

Number of unknowns

Method: augment the coefficient matrix with the constant vector, then perform row operations — swap rows, scale rows, and add multiples of one row to another — until the left side is in reduced row echelon form.

Up to 6 × 6

Solve systems with up to six equations and six unknowns.

Full classification

Unique solution, infinitely many solutions, or no solution — with free variables named.

RREF preview

Pivot columns are highlighted in the reduced row echelon matrix.

Real number input

Enter decimals or negative coefficients — the elimination handles them automatically.

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