Sta 1 h G 0 1 3. For a particle with spin 1, the matrices that represent the operators Sv. are: 1 0 0 0 1 1 0 1 Sy=h- -1 0 1 Sh00 0 , (4) 0 10 0 -1 0 0 0 (a) You are initially given a state |) = cos a 1) + sin a| 1) - (5) Canculate (S), (S), and (S) in this state. (b) You measure S in the state from (a). What is the probability of finding S* = h? == (c) You measure S in the state from (a), and find that S = h. What is the state after this measurement? (d) Calculate the uncertainty of S in the state you found above.