RREF Calculator

Transform any matrix into its Reduced Row Echelon Form (RREF) using our advanced Gaussian elimination solver. See each row operation step-by-step.

Calculate RREF

Understanding Row Operations

To convert a matrix to RREF, we use elementary row operations. The three valid operations are:

  • Swapping rows: Interchange any two rows.
  • Scaling a row: Multiply a row by a non-zero scalar.
  • Adding rows: Replace a row by the sum of itself and a multiple of another row.

Our calculator applies these operations methodically to reach the unique reduced row echelon form for your input matrix.