#
why when finding the inverse of a matrix do we do

A=IA for rows

and

A=AI for column?

If we do elementary operation on X we need to do same elementary operation on right side on one of Y and Z.

If we do row operation on both sides then we need to do operations on X and Y

And if we do column operation then we need to do operations on X and Z.

In finding the A

^{-1}we can either write A=AI or A = IA

But in the right side of equation we always need to do operation on I.

Therefore, when we use row operation, we write A=IA and for column operation, we write A=AI.

**
**