Matrix Powers

Can you link me to such an image? I'm not sure I understand this, and Google isn't turning up anything.

I've looked after one, but I cannot find any good representation. You just need to multiply the U to the matrix A (image) you want to rotate, and visualize that one. So basically: Visualize A - it's a plane for our case. Then visualize AU, which is still a plane, but in three dimensions (i representing the z-coordinate). Then apply P^n, which does the "turning" of the AU-matrix, and then finally place it back in the normal plane by multiplying with U inverse.

It's hard to visualize operators, as hadriel said. Don't try too hard!

Noah