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2×2 Determinant Calculator

Find the determinant of a 2×2 matrix.

How to use

  1. Enter your values in the fields above.
  2. Press Calculate to see your result instantly.
  3. Use the Share button to copy a link to your result.

About this calculator

This calculator computes the determinant of a 2×2 matrix using the formula ad − bc for a matrix [[a,b],[c,d]] — a single number that reveals whether the matrix can be inverted (a determinant of zero means it cannot) and, geometrically, the factor by which the matrix scales area.

Students checking linear algebra homework, and anyone solving a system of two linear equations with Cramer's rule (which requires the determinant of the coefficient matrix as a first step) use this calculation. It also comes up in computer graphics and physics when checking whether a 2D transformation is invertible before applying it.

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