
Linear Algebra Linear Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
March 25th, 2018, 11:36 AM  #1 
Newbie Joined: Mar 2018 From: Split, Croatia Posts: 12 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  
Senior Member Joined: Oct 2009 Posts: 428 Thanks: 144  Quote:
 
March 25th, 2018, 11:04 PM  #3 
Newbie Joined: Mar 2018 From: Split, Croatia Posts: 12 Thanks: 0 
Thank you!


Tags 
additive, group, hermitian, matrices 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Inverse problem of covariance matrix – diagonalization of Hermitian operator  whitegreen  Linear Algebra  2  February 19th, 2016 04:50 AM 
solvable Group of matrices over Z_p  Sandra93  Abstract Algebra  7  November 4th, 2013 12:05 PM 
nonHermitian matrices  Grayham1990  Linear Algebra  0  January 28th, 2012 06:35 PM 
Hermitian matrices  BSActress  Linear Algebra  4  July 9th, 2009 02:28 AM 
Hermitian or not?  Tea  Linear Algebra  1  September 17th, 2007 11:55 PM 