1) we know that some degree multiplication(exponentiation) of the nilpotent matrices become zero. then what happens if we do multiplication like $ ABCDEAP$? when does this become zero matrix? ( A,B,C,D,E,P are nilpotent matrices.
2) which subsets of nilpotent matrices commute?
can anyone provide me requirement for matrices to commute or anticommute and nilpotent matrices to commut/anticommute?