I still don't understand. It says that (1 0//0 1), (0 1//1 0) are elements of B_2. How do those indicate points?The vertices are points in ℝ^{N2} space.
So, does this map as (1,0,1,0) and (0,1,0,1)?A 2x2 matrix has four elements, in this case, four real numbers. That maps to R^{4}, so they are represented by points in 4-space.
Those are the coordinates I meant to give, lol.Usually if you have a matrix you just read it off from left to right, top to bottom. So the matrix
1 0
0 1
would be (1,0,0,1) and the matrix
0 1
1 0
would be (0,1,1,0). Of course it doesn't matter which order you put the entries of your matrix as long as you're consistent the whole time