Inverse of a Matrix

Rarely Tested

Inverse of a Matrix

## Definition / Concept

For a square matrix $$a$$, a matrix $A^{-1}$ is called its inverse if:

$$AA^{-1}=A^{-1}A=I$$

The inverse exists only when:

$$|A|\ne0$$

## Usage

- Used to solve matrix equations and systems of linear equations.

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