Mathematica: How to simplify the following expression of a matrix with complex conjugation?

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How to simplify the following expression of a matrix with complex conjugation?
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Thanks to all those great people for their contributions!

(mathematica.stackexchange.com/users/41058/john-taylor)John Taylor
(mathematica.stackexchange.com/users/27951/marcob)MarcoB
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rule syntax complex simplifying-expressions




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rule
syntax
complex
simplifying-expressions