(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show the proof that the following are all Normal Matrices

a. Hermitian

b. Skew Hermitian

c. Unitary

2. Relevant equations

Normal Matrices: A*A=AA*

Hermitian Matrices: A=A* or aij=a*ji

Skew Hermitian Matrices A=-A* or aij=-a*ji

3. The attempt at a solution

So far I have tried using the above information for Hermitian Matrices to try and prove that A*A=AA* but I keep getting answers I know not to be correct. I would appriciate a nudge in the correct direction so I can quit pulling my hair out. I have a feeling when I find the correct proof it will be quite obvious, but right now I am just missing something.

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# Homework Help: Prove that Hermitian/Skew Herm/Unitary Matrix is a Normal Matrix

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