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 March 25th, 2018, 11:36 AM #1 Newbie   Joined: Mar 2018 From: Split, Croatia Posts: 13 Thanks: 0 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
March 25th, 2018, 10:51 PM   #2
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 Originally Posted by Birgitta 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.

 March 25th, 2018, 11:04 PM #3 Newbie   Joined: Mar 2018 From: Split, Croatia Posts: 13 Thanks: 0 Thank you!

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