Is (A+B)^n Hermitian if A and B Are Hermitian Matrices?

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Homework Statement



Prove that if A and B are hermitian, so is (A+B)^n


Homework Equations



if an operator is hermitian then it is equal to its conjugate (A= A+)



The Attempt at a Solution



im pretty much bad when it comes to math, any hints would be appreciated ..
thanks in advance..
 
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What else do you know about hermitian matrices? For example, is the sum of two hermitian matrices hermitian? What about their product?
 
vela said:
What else do you know about hermitian matrices? For example, is the sum of two hermitian matrices hermitian? What about their product?

thanks a lot for the help vela .. I will try from there .. :)
 

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