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Formula verified · Deterministic calculation

RREF Calculator

Use deterministic Gauss–Jordan elimination to reduce a 2×3 matrix and inspect every elementary row operation.

RREF[1, 0, 3] [0, 1, 2]
Rank
2
Methodology

The certified engine performs deterministic Gauss–Jordan elementary row operations on the validated 2×3 matrix.

Sources
  • CalcuMint deterministic linear-algebra engine
Solution steps
  1. Scale R1 by 1/1
  2. R2 ← R2 - (1)R1
  3. Scale R2 by 1/-2
  4. R1 ← R1 - (1)R2

How this calculator works

The engine identifies pivots, scales pivot rows to one and eliminates each pivot column above and below to produce RREF.

Formula

Gauss–Jordan row reduction

Reduces a 2×3 matrix to reduced row echelon form with deterministic elementary row operations.

Worked example

Augmented system is a verified test case used by the calculation engine.

Assumptions and limitations

  • This certified version accepts a 2×3 matrix.
  • Inputs are finite real numbers.

Methodology & sources

This calculator uses deterministic, versioned calculation logic. The formula and verified examples above are part of the calculation definition used by CalcuMint. Technical calculation version: 1.

  • CalcuMint deterministic linear-algebra engine — Gauss–Jordan elimination.

Frequently asked questions

What matrix size is supported?

This version reduces 2×3 matrices.

Are the row operations visible?

Yes. Each deterministic swap, scale and elimination step is listed.

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RREF Calculator | CalcuMint