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## Homework Statement

Simply--Prove that any Hermitian operator is linear

## Homework Equations

Hermitian operator defined by: int(f(x)*A*g(x)dx)=int(g(x)*A*f(x)dx)

Linear operator defined by: A[f(x)+g(x)]=Af(x)+Ag(x)

Where A is an operator

## The Attempt at a Solution

I am at a complete loss of how to even start this. I know I need to get from int(f(x)*A*g(x)dx)=int(g(x)*A*f(x)dx) to A[f(x)+g(x)]=Af(x)+Ag(x) where A is the Hermitian operator, but I dont know how/what to manipulate to get here....

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