# How do you find the inverse of #A=##((2, -4), (1, 3))#?

##### 1 Answer

#### Explanation:

Extend

Perform standard row operations with the objective of modifying the left side into an identity (sub)matrix.

(There are many ways to do this; the following is just one method).

Exchange Rows 1 and 2

Subtract

Divide Row 2 by

Subtract

with the identity matrix on the left, the right side is the required inverse.

Of course, it's a good idea to verify this result:

...and we can go home happy!