# Matrix inverse

Calculates the inverse of a square matrix.

## Inverse of a matrix

The inverse of a square matrix `A` is the matrix noted `A^(-1)` such as,

`A*A^(-1) = I`

where `I` is the identity matrix.

The inverse matrix of A exists if and only if the determinant of A is non-zero. We say that M is invertible or not singular.

## See also

Matrix determinant

Singular matrix

Matrix rank

Linear algebra Calculators