Quote:
Originally Posted by Zholl
Perhaps I should ask a different question...
Ok, so if I take, for example, the TBA data from 2008's Suffield Shakedown and create matrix A based on the number of matches each team played on an alliance with each other team and matrix B is the total combined score of each of the alliances team x played on. I then took the inverse of A and found BA^-1. So would this, then, be correct?
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You don't need a second matrix. Here are the three bits you need:
Matrix A: you've got this: the (i,j)th element is how many times team i played with team j
Vector S: This is a vector where the jth element is a sum all of team j's scores.
Vector OPR: This, once solved for, is the OPR for each team. The i'th element is the OPR of team i.
So you've just got to solve:
A*OPR = S
Which would result in:
OPR = A
-1S
So yeah, I think your math is correct so long as by "matrix B" you meant "vector B".