matrices

This is quite possibly a misguided question but a colleague and I were talking about it yesterday and my googling has failed me. How does matrix algebra work with higher dimensional matrices? We understand the algebra around matrices of two dimensions (e.g. 3x3) is well established but...

Hello old friends, Is anyone there who is familiar with matrices?. I am trying to calculate the determinant of a (nxn) matrix where n is higher than 12! :D I could do it by hand, but it would take ages to get it...right. Could any mathematician there, refer me to a website with a software...

I need to solve a system of 3 differential equations that are all coupled to each other. I think matrices would be the best way to do it, but i need some help. Lets say that the 3 variables are Mx, My, and Mz, and the diffeq setup is: dMx/dt = A*Mx + B*My + C*Mz dMy/dt = D*Mx + E*My + F*Mz...