RREF Calculator
Reduce any matrix to Reduced Row Echelon Form using Gaussian elimination. Shows every row operation step by step.
Input Matrix
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Examples
Result
Enter a matrix and click Compute RREF
Gaussian Elimination
Transform any matrix into row echelon form using elementary row operations: row swaps, scaling, and adding multiples of one row to another.
Solving Systems
Use the augmented matrix to solve . The RREF directly reveals the solution, including free variables for underdetermined systems.
Rank & Nullity
The rank equals the number of pivot positions. The nullity (dimension of the null space) equals the number of free variables.