Reduced Row-Echelon Form RREF Calculator

RREF, or Reduced Row-Echelon Form, is a specific form that a matrix can be transformed into using Gauss-Jordan elimination. It simplifies the matrix by making leading entries 1 and zeros above and below them. The following steps can be used to transform a matrix into its RREF:
1. Locate the leftmost non-zero column, called the pivot column, starting from the leftmost column and moving downward.
2. Find a non-zero entry, called the pivot, in the pivot column of the current row. If necessary, perform row swaps to move a non-zero entry into the pivot position.
3. Scale the pivot row by dividing all elements in that row by the value of the pivot. This ensures the pivot becomes 1.
4. Perform row operations to create zeros below and above the pivot. For each row below or above the pivot, subtract a multiple of the pivot row from the corresponding row to make all entries above and below the pivot zero.
5. Move to the next pivot column and repeat steps 2-5 until you reach the last column or last row, whichever comes first.