Last updated: March 2, 2026

How to Calculate a 2x2 Determinant

Formula

The determinant of a 2x2 matrix [[a,b],[c,d]] is calculated as ad - bc.

A non-zero determinant means the matrix is invertible.

Common use cases:

  • Testing matrix invertibility
  • Solving 2x2 systems of equations via Cramer's rule
  • Area calculations using coordinate geometry

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