Reduced Row Echelon Form Calculator

Compute the Reduced Row Echelon Form (RREF) of a matrix. Enter your matrix dimensions and values to get the step-by-step RREF.

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How to use this tool?

How to Use the RREF Calculator

This calculator transforms any matrix into its Reduced Row Echelon Form (RREF) step by step.

  1. Set dimensions: Enter the number of Rows and Columns (1–10 each).
  2. Generate matrix: Click Generate Matrix to create an empty grid.
  3. Enter values: Type numbers (decimals allowed) into each cell. Use 0 for empty entries.
  4. Calculate: Click Calculate RREF to see the result and each operation performed.

Output: The final RREF matrix appears above, with all steps listed below it (row swaps, scaling, and elimination).

Tip: All numbers are rounded to 4 decimal places for clarity. No special input format is required—just plain numbers.

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Frequently Asked Questions

RREF is a matrix form that satisfies: each leading entry is 1, each leading entry is the only nonzero in its column, and rows of zeros are at the bottom.

Enter the number of rows and columns, click 'Generate Matrix', fill in the values, then click 'Calculate RREF'.

The calculator will still compute the RREF. Inconsistent systems are indicated by a row of zeros with a nonzero constant.

Reviewed by Experts

Eurico José Kiala

Eurico José Kiala

Mathematician

Teacher

LinkedIn
João Lino

João Lino

Mathematician

LinkedIn
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