# Inverse Matrix Calculator

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### 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.

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