RREF calculator
Reduce a matrix to reduced row echelon form (RREF). Enter the matrix and see every row operation step by step.
Matrix
What is RREF?
Reduced Row Echelon Form is a matrix where: each leading entry is 1, each leading 1 is the only non-zero in its column, and leading 1s move to the right as you go down rows.
Row operations
R₁ ↔ R₂: Swap two rows.
kR₁: Multiply a row by a non-zero constant.
R₁ + kR₂: Add a multiple of one row to another.
Applications
Solving systems of linear equations, finding matrix rank, determining linear independence, computing inverses.
Popular systems of equations
Related calculators