1. The problem statement, all variables and given/known data Find a 2 by 2 matrix such that when cubed, is equal to the identity matrix. This matrix cannot be equal to the identity matrix unless it is cubed. So for example: B3 = [1 0;0 1] but B≠[1 0;0 1] 3. The attempt at a solution The professor told us that we have to use a linear transformation where you rotate it three times by 120o. The problem I have is that I cannot visualize how such rotations can solve the problem. Also I don't even know what to rotate. If anyone knows what to do it would be greatly appreciated, thanks!