Hi Nate, 
Many thanks first for the efforts you put in this.

I'm not a computer scientist, but will give my opinion as physicist.

As such, when I see A x B x C (A, B and C being matrices), I tend to read it 
from right to 
left : Ax (BxC).
But if the size of the matrices do not match like this, then I'll read it the 
other way 
round. 

Moreover, matrix diagonalization is always written so that the operations are 
done 
from right to left (P^-1 x A x P is read do AxP first, then multiply by P⁻1)

Éric.
-- 
Un clavier azerty en vaut deux
----------------------------------------------------------
Éric Depagne                            [email protected]

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