# Three-Dimensional Matrix Multiplication

1. Dec 31, 2011

### marschmellow

Does this concept exist? Google yields weird results that mostly have to do with programming, and Wikipedia says nothing about it. I always find that I understand tensor math better when I can translate it into matrix notation, but if I'm dealing with tensors of too high a rank, I don't know what to do anymore.

And if it does exist, I have some questions about the function of the extra dimension in the arrays. Column vectors correspond to vectors, and row vectors correspond to 1-forms, so what would vectors "orthogonal" (in the physical notation space) to row vectors and column vectors correspond to?