[Guy Davidson]

Could you help me make sure I understand the linear algebra involved?

I understand that p is what we're looking to find, or the average number of points a team contributes per match. s and M we can calculate from the results coming from each regional. Since Mp = s, we can conclude that p = (M-1)s (where M-1 denotes M inverse). It seems to me from thinking about it that M is symmetric, and as such M = M-1. Is that actually the case?

I'll probably try to write a program to take a csv dump and spit out rankings if I understand the math.