what am i doing wrong? finding the inverse of the matrix

the question is find the inverse the matrix.

[3 1][1 0]

[4 2][0 1]

in Calc Chat (step by step) they multiplied 1/2(R2) first then did -R2 + R1 and so forth.

I thought I was suppose to multiply 1/3(R1) first to get 1 on R1 and so forth. I am so confused. I know how to set it up but I still dont get why I could have just multiplied 1/3(R1). ??? In Gaus-elimination are you suppose to make sure the coefficent is 1 on the first row??(Worried)

thank you

Re: what am i doing wrong? finding the inverse of the matrix