if square of N is zero??? 1. The problem statement, all variables and given/known data Let N be 2x2 matrix such that N2=0. How can we prove either N=0 or N is similar over C to [0 0; 1 0] 2. Relevant equations Two matrix is to be similar if A=P-1BP for invertible transformation matrix P 3. The attempt at a solution I tried to multiply N by itself but I got square of indices and some complex variables so I think that's not working.