1 ' 3 1 13. Consider the following matrix representations of two Hermitian operators Q = [ . S ] and R = [ 1 1 J E (a) Show that the product operator T = QR is not Hermitian. (b) Show that the commutator [Q, R] can be written as a Hermitian operator times i. 14. If A, B and C are Hermitian operators that do not commute with each other, transform the following expressions so as to eliminate the Hermitian conjugate (dagger) (a) (A 3 Cf (d) (MY an (A")* (e) (MED+ (c)(AB+BA)* (f) [NY Which of the above expressions is Hermitian? Which of the above expressions is Unitary