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Formula verified · Deterministic calculation

Matrix Determinant Calculator

Enter four matrix elements to calculate a certified 2×2 determinant and see the arithmetic used to obtain it.

Determinant-2
a × d
4
b × c
6
Methodology

The certified 2×2 matrix engine evaluates ad - bc and exposes the same arithmetic as deterministic solution steps.

Sources
  • CalcuMint deterministic linear-algebra engine
Solution steps
  1. det = (1 × 4) - (2 × 3)
  2. det = 4 - 6
  3. det = -2

How this calculator works

For [[a,b],[c,d]], the determinant is ad - bc.

Formula

det([[a,b],[c,d]]) = ad - bc

Computes the determinant of a 2×2 matrix.

Worked example

[[1,2],[3,4]] is a verified test case used by the calculation engine.

Assumptions and limitations

  • This first certified matrix determinant implementation supports 2×2 matrices.
  • 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 — Standard 2×2 determinant identity.

Frequently asked questions

What matrix size is supported?

This certified version supports 2×2 matrices.

How is the determinant calculated?

Multiply the main diagonal a×d and subtract the other diagonal b×c.

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