Echelon Form Calculator
Compute the Reduced Row Echelon Form (RREF) of a matrix. Enter a matrix and get step-by-step row operations and the final RREF.
Published by:
isCalculator Editorial Team
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How to use this tool?
How to Use the Echelon Form Calculator
This calculator converts any matrix (up to 6×6) into its Reduced Row Echelon Form (RREF) using Gaussian elimination. Follow these steps:
- Set dimensions – Enter the number of Rows (1–6) and Columns (1–6).
- Build the matrix – Click Build Matrix to generate an input grid.
- Enter values – Fill each cell with a number (decimals allowed). All values default to 0.
- Compute RREF – Click Compute RREF to see step-by-step elimination and the final RREF matrix.
Output: The calculator shows each operation (row swaps, scaling, elimination) and the resulting RREF matrix rounded to 10 decimal places.
No special format required – just enter numbers. Works for any real-valued matrix.
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Frequently Asked Questions
Reduced Row Echelon Form is a matrix form where each leading entry is 1, and all entries above and below each leading 1 are zero. It is used to solve linear systems.
Enter the number of rows and columns, click 'Build Matrix', then fill in the matrix entries. Click 'Compute RREF' to see the steps and final result.
Yes, you can enter integers, fractions (as decimals), or any real numbers. The calculator will perform exact arithmetic.
