There are two matrices which are very important and are used in many applications. They are the identity and inverse matrices. In this tutorial I explain what their properties are and how to calculate them for 2×2 matrices.

## Example on singular matrices

## Example on solving a matrix equation

Here is an example on how we can use the identity and inverse properties of a matrix to solve matrix equations.

## Example on proving a matrix identity

Here is an example on how we can use the identity and inverse properties of a matrix to prove a matrix identity.