Question: 3. [20 points] Let A be a Hermitian operator such that: Af = of, Ag=dg, where c#d ( note that both eigenvalues are real) Prove

3. [20 points] Let A be a Hermitian operator such that:

3. [20 points] Let A be a Hermitian operator such that: Af = of, Ag=dg, where c#d ( note that both eigenvalues are real) Prove the following: a) (f,g)=0 b) ( f , Ag ) = 0 c) (8, Af ) = 0

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