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

[thebigstar25]

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..

 

[vela]

What else do you know about hermitian matrices? For example, is the sum of two hermitian matrices hermitian? What about their product?

 

[thebigstar25]

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 .. :)