@tarinbansal for sudakar's method,
I think its nothing but the usual method,a little modified version.......
usually we think in the mind for choosing the numbers to multiply.....aka......the normal way of finding cofactor matrix ........and then taking transpose.....
In his method,u write in that specific pattern and multiply
,thus leading to a little lesser mind load and lesser chance of mistakes
......
But I dont think it can yield the answer in lesser time
..
....its just another lesser mind load for finding cofactor matrix.......
Well,from the above results I think that the most easiest way to chk the answer is using nadeemoidu method i.e. AA-1 = I