RREF Calculator

Compute the reduced row echelon form (RREF) of a matrix using exact rational arithmetic. Supports fractions and decimals.

Formula

Gaussian elimination with partial pivoting over exact rational numbers to reach reduced row echelon form.

Assumptions

  • Matrix entries are parsed as exact rational values where possible.

Limitations

  • Very large entries may exceed practical display limits.
  • Row operation steps are not shown — only the final RREF matrix.

Worked example

2×2 identity

The 2×2 identity matrix is already in RREF: [[1, 0], [0, 1]].

Frequently asked questions

What matrix sizes are supported?

Up to 6 rows and 8 columns. Common sizes like 2×2, 3×3, and augmented 3×4 are supported.

Last reviewed: 2026-07-22

Category: Math & Algebra

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