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March 25th, 2018, 11:36 AM   #1
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Hermitian matrices and additive group

I need to prove that the set of all hermitian matrices Mh with operation "+" forms an additive group. I know that the set of all matrices M with additive operation forms an additive group(I proved that). My question is, if I prove that set of hermitian matrices with additive operation Mh is a subgroup of M, is it a good proof that Mh is a group (or I should prove every group property separately)? Thank you
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March 25th, 2018, 10:51 PM   #2
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Originally Posted by Birgitta View Post
I need to prove that the set of all hermitian matrices Mh with operation "+" forms an additive group. I know that the set of all matrices M with additive operation forms an additive group(I proved that). My question is, if I prove that set of hermitian matrices with additive operation Mh is a subgroup of M, is it a good proof that Mh is a group (or I should prove every group property separately)? Thank you
Showing it is a subgroup is enough.
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March 25th, 2018, 11:04 PM   #3
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Thank you!
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