Rref Matrix Calculator

Compute the Reduced Row Echelon Form (RREF) of any matrix with step-by-step explanation.

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How to use this tool?

How to Use the RREF Matrix Calculator

  1. Enter your matrix in the input field. Use semicolons (;) to separate rows and spaces to separate columns. For example: 1 2 3; 4 5 6 represents a 2×3 matrix.
  2. Click "Calculate RREF" to compute the Reduced Row Echelon Form.
  3. View the result displayed as a formatted table. Each value is shown as an integer or rounded to 3 decimal places.
  4. Review the steps below the result to see the row operations performed (row swaps, scaling, and elimination).

Note: All rows must have the same number of columns. Only numeric values are accepted. If you see an error, check your input format.

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Frequently Asked Questions

Reduced Row Echelon Form (RREF) is a simplified form of a matrix where each leading entry is 1, and it is the only non-zero entry in its column.

Enter rows separated by semicolons and columns by spaces. For example: '1 2 3; 4 5 6' represents a 2x3 matrix.

Enter fractions as decimals (e.g., 0.5) or use division (e.g., 1/2 is not supported; use 0.5).

Reviewed by Experts

Eurico José Kiala

Eurico José Kiala

Mathematician

Teacher

LinkedIn
João Lino

João Lino

Mathematician

LinkedIn
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