Matrix Inverse Calculator

About Matrix Inversion

The inverse of a square matrix A is another matrix A⁻¹ such that A × A⁻¹ = A⁻¹ × A = I (where I is the identity matrix). A matrix is invertible if and only if its determinant is non-zero.

If A is the matrix of coefficients in a system of linear equations Ax = b, then x = A⁻¹b gives the solution.