Answer Happy

6. If the state of the system at an initial time t = 0 is given by [x(t = 0)) = a 1)₂ + b )2, which one of the following is the correct matrix representation of this state in the chosen basis? (a) (%) (b) (a+b) (c) (a+b) (d) 1/√2(%) 7. If the state of the system at an initial time t = 0 is given by |x(t = 0)) = a 1)₂ + b ), which one of the following is the state, x(t)), after a time t? (a) eBot/2 (al 1): + b )₂) (b) e-Bot/2(al 1)z+b| ↓) z) (b) eyBot/2[(a+b)| 1)₂ + (a - b)| 1)] (d) eyBot/2a 1) + e-Bot/2b|z 8. If the state of the system at an initial time t = 0 is given by |x(t = 0)) = a| 1)₂ + b ), which one of the following is the correct matrix representation of this state, x(t)), after a time t? (a) eBot/2 (8) (b) e-Bot/2 (8) (c) e-Bot/2 (a+b) (a+b) (2) ae¹o/2