Row Echelon Form Calculator

Reduce a 2x2 or 3x3 matrix to row echelon form (REF) by forward elimination with partial pivoting. The REF has zeros below each leading entry.

Frequently Asked Questions

What is row echelon form?

A matrix is in row echelon form when zero rows are at the bottom and each leading nonzero entry sits strictly to the right of the leading entry in the row above.

REF versus RREF?

RREF additionally requires that each leading entry equals 1 and is the only nonzero entry in its column. REF is easier to reach; RREF is unique.

How does this give the rank?

The rank equals the number of pivot rows (non-zero rows) in the echelon form.

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Estimates for informational purposes only.

Important Disclaimer: Estimates for informational purposes only.

This calculator provides estimates for informational purposes only. Results are based on assumptions and may not reflect actual outcomes. Consult qualified professionals in relevant fields before making important decisions based on these results.

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