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## Homework Statement

[A,B] = C and operators A,B,C are all hermitian show that C=0

## Homework Equations

## The Attempt at a Solution

Since it is given that all operators are hermitian I know that A=A' B=B' and C=C' so i expanded it out to

AB-BA=C

A'B'-B'A'=C

(BA)' - (AB)'=C

I'm not real sure where I am supposed to go or what properties of hermitian operators I am supposed to used to show that AB=BA..any help would be appreciated thank