Matrix Calculator

Perform matrix arithmetic for 2×2 matrices used in linear algebra courses.

Modify the values and click the Calculate button to use this tool.

Matrix Operations

A and B are 2×2 matrices.

Modify the values and click the Calculate button to use this tool.

Determinant

Calculate det(A) for a 2×2 matrix.

Formula

det = ad − bc | A×B = standard matrix product

How to use

  1. Enter 2×2 matrix elements.
  2. Choose operation: add, multiply, or inverse.

Formulas explained

Matrix multiplication is not commutative: A×B ≠ B×A in general.

FAQ

When determinant equals zero (singular matrix).

Related

DeterminantEquation Solver