Augmented Matrix Solver (RREF)
Reduce an augmented matrix [A|b] to reduced row echelon form (RREF).
Enter augmented matrix rows separated by semicolons, values by commas. Last column is constants.
How It Works
Enter the augmented matrix [A|b]. Gauss-Jordan elimination transforms it to reduced row echelon form where each pivot column has a single 1 and all other entries are 0, directly reading off the solution.
Formula
Gauss-Jordan elimination to RREF
Frequently Asked Questions
What is RREF?
Reduced Row Echelon Form (RREF) is a matrix where every pivot is 1, each pivot is the only nonzero entry in its column, and pivots appear in order from left to right.
How does RREF differ from REF?
Row Echelon Form (REF) only eliminates entries below pivots. RREF also eliminates entries above pivots, giving the solution directly without back-substitution.