is there any possible way to get the inverse of a matrices by elementary operation quickly and easily without getting it wrong

Hi

There is no fix hard and fast rule to select any particular row or column. Just keep in mind that you have to convert the given matrix into an identity matrix and take necessary matrix transformation operations accordingly. Go through the video given in our study material along with solved examples to get a better understanding of the above concept. Get back to us in case you face any problem.