inverse matrix: what steps should, can I use in finding it?

[PixelZombie]

when you find the inverse of a matrix can you do any combination of row operations and have the same outcome?

say I want to use only one type of row operation will I have the same answer?

and also which number to choose first like
1 2-3 1 0 0
3 5-7 0 1 0
-1-3 6 0 0 1

the three on the bottom of the one or the two on the right of the one?

i've tried different row operations and going down starting from the left column then to the next

is there another way to do this?

 

[Deleted member 4993]

Re: inverse matrix

when you find the inverse of a matrix can you do any combination of row operations and have the same outcome?

say I want to use only one type of row operation will I have the same answer?

and also which number to choose first like
1 2-3 1 0 0
3 5-7 0 1 0
-1-3 6 0 0 1

the three on the bottom of the one or the two on the right of the one?

i've tried different row operations and going down starting from the left column then to the next .... This is the most sensible way to do this.
is there another way to do this?

Inverse matrix is unique - so no matter how you fashion your row operations - it will give you the same matrix at the end.