[Inkscape-devel] Matrix multiplication reversed?

I am attempting to eliminate some redundant types, at the moment I have just tried eliminating NRPoint and NRMatrix in favour of NR::Point and NR::Matrix (patch available soon, I'm currently double-checking it).

While looking at the matrix multiplication as defined in nr-matrix.cpp it looks like the definition is reversed (compared to the usualy mathematical definition). That is: A*B=BA ...

The reason I think it is reversed is simply that if C=A*B (with C, A and B NR::Matrix's), then C[0] is the dot product between the first column of A and the first row of B (and similarly for the other elements).

Am I missing something or is it indeed reversed? And if it is, is there a reason for this?