# Inverse Matrix Calculator

2x2
3x3
4x4
5x5
6x6
7x7
8x8

### Basic Information

Definition: A square matrix $$A=[a_{ij}]$$ is said to be invertible or nonsingular if there exists a square matrix $$B=[b_{ij}]$$ such that

$AB = BA = I$ where $$I$$ is the identity matrix. Such matrix $$B$$ is unique, and we say that B is the inverse of $$A$$ and is denoted by
$$B=A^{-1}$$

Although the concept is simple, the actual computation of an inverse can be quite cumbersome.