1. The problem statement, all variables and given/known data Determine the column vectors representing the states |+x> and |-x> using the states |+y> and |-y> as a basis. 2. Relevant equations ? 3. The attempt at a solution The hint my prof gave us was that since |+x> = 1/√2|+z> + 1/√2|-z> we can eliminate the states |+z> and |-z> in favor of |+y> and |-y> I'm just lost I guess, i'm not sure how to eliminate the z states in favor of y. Any further hint or suggestion would be much appreciated.