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