# What is the multiplicative inverse of a matrix?

##### 2 Answers

The multiplicative inverse of a matrix

Where

For example:

if:

[4 3]

[3 2]

[-2 3]

[3 -4]

Try to multiply them and you'll find the identity matrix:

[1 0]

[0 1]

Just added some footnotes.

#### Explanation:

Firstly, the matrix described here needs to be square

with

This can be determined by computing the determinant of

The determinant of

If