How it works
Reduced row echelon form uses elementary row operations to make each pivot equal to 1 and all other entries in its pivot column equal to 0. This version focuses on 2×2 matrices.
Standard formula
elementary row operations → RREFWorked example
The matrix [[1, 2], [3, 4]] reduces to [[1, 0], [0, 1]] because it is invertible.
Frequently Asked Questions
What does RREF stand for?
It stands for reduced row echelon form.
Does row reduction change the solution set?
Elementary row operations preserve the solutions of a corresponding linear system.
What if the matrix is singular?
The reduced matrix will show a zero row or a dependent row instead of the identity matrix.
Can entries be fractions?
Yes. Decimal inputs can represent fractional values.