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I'd like to know how to prove that the trace of A.A* is positive.

I don't really know how to handle the imaginary part of it. If A has any complex number in it, is it possible to get traces like 10-2i? If yes, do I consider it as a positive number or negative?:zzz:

Thanks in advance

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# How to prove trace(A.A*) is positive

**Physics Forums | Science Articles, Homework Help, Discussion**