Enter your matrix details to calculate its reduced row echelon form (RREF) using the calculator.

RREF Calculation Formula

The following steps outline the process of transforming a matrix to its reduced row echelon form (RREF).

1. Identify the leftmost non-zero column.
2. Swap the top row with a row containing a non-zero entry in the leftmost column, if necessary.
3. Scale the top row to make the leftmost entry equal to 1.
4. Use row operations to create zeros in all positions below and above the pivot position.
5. Cover the current row and repeat steps 1-4 for the remaining submatrix.
6. Continue until the entire matrix is in RREF.

Key Concepts:

  • Pivot Position: The first non-zero entry in each row.
  • Row Operations: Operations that include row swapping, scaling rows, and adding multiples of rows to other rows.

To perform the RREF transformation, follow these systematic steps to ensure the matrix is simplified correctly.

What is Reduced Row Echelon Form (RREF)?