Results 1 to 3 of 3

Math Help - Help me in understanding reseach paper

  1. #1
    Newbie
    Joined
    Apr 2010
    Posts
    6

    Help me in understanding reseach paper

    Let A be the Algebra generated by 22 matrices M and N. Now if A has dimension greater than 3, then how we say it is full matrix algebra, and how we say there is no common eigenvector for the set of all element of A. Plz help me. Thanx
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,313
    Thanks
    1291
    Quote Originally Posted by maken83 View Post
    Let A be the Algebra generated by 22 matrices M and N. Now if A has dimension greater than 3, then how we say it is full matrix algebra, and how we say there is no common eigenvector for the set of all element of A. Plz help me. Thanx
    The algebra of all 2 by 2 matrices has dimension 4. If A has "dimension greater then 3" then it must have dimension 4 and be the algebra of all 2 by 2 matrices. Further, it is easy to construct two 2 by 2 matrices that have no eigenvector in common.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Thanks
    2
    Quote Originally Posted by maken83 View Post
    Let A be the Algebra generated by 2cross2 matrices M and N. Now if A has dimension greater than 3, then how we say it is full matrix algebra, and how we say there is no common eigenvector for the set of all element of A. Plz help me. Thanx

    Since the whole algebra of all 2x2 matrices has dimension 4, any (sub)algebra having dimension greater than 3 is the whole thing...

    Tonio
    Last edited by mr fantastic; May 1st 2010 at 04:53 AM. Reason: Moved from thread created by duplicate post.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. conical paper cup
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: October 3rd 2011, 09:36 AM
  2. Help with math paper
    Posted in the Calculus Forum
    Replies: 0
    Last Post: September 24th 2008, 01:59 PM
  3. a box of paper
    Posted in the Statistics Forum
    Replies: 5
    Last Post: September 7th 2008, 02:42 PM
  4. Subtracting on paper
    Posted in the Algebra Forum
    Replies: 3
    Last Post: August 1st 2008, 05:14 PM
  5. Folding paper
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: July 18th 2008, 04:41 AM

Search Tags


/mathhelpforum @mathhelpforum