1. The problem statement, all variables and given/known data Consider the matrix cos(3*pi/17) -sin(3*pi/17) S = sin(3*pi/17) cos(3*pi/17) Does there exist a positive integer n such that Sn = I where I is the 2x2 identity? If so, what is the smallest such integer? Explain. Excuse the poor matrix formatting. I do not know how to use the latex formatting to put it into pretty print. 2. Relevant equations Not sure.... 3. The attempt at a solution Where should I start? I really have no idea.