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I have a house mate is doing a computer physics course and he's never before dealt with matrices bigger than 3 x 3. He was wanted to know out how to work out the inverse of 6 x 6, now it's been a long time since I've done this myself. I remembered the Gauss - Seidel Method (where you write out the matrix next to the identity matrix and keep carrying on with elementary row operations) quite easily and showed him that one, however if I remember correctly it is numerically unstable and he is doing a course where he is dealing with floating - point values.

It's just on the edge of my mind, I remember doing a way that you could approximate the inverse through a series of iterative steps, it was heavily paralisable (sp?). If anyone could tell me and perhaps give a quick explanation that I could use to give to him that would be super