Results 1 to 2 of 2

Math Help - classify up to similarity (matrices)?? meaning?

  1. #1
    Junior Member
    Joined
    Oct 2009
    Posts
    39

    classify up to similarity (matrices)?? meaning?

    The question says "Classify, up to similarity, all 5 x 5 nilpotent complex matrices. What are their Jordon Canonical forms?"

    I understand everything about the question except for "classify, up to similarity"...nothing in my text or notes mentions classifying at all or "up to similarity" although I do know what similar matrices are and that they have the same jordon canonical forms.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Thanks
    2
    Quote Originally Posted by 234578 View Post
    The question says "Classify, up to similarity, all 5 x 5 nilpotent complex matrices. What are their Jordon Canonical forms?"

    I understand everything about the question except for "classify, up to similarity"...nothing in my text or notes mentions classifying at all or "up to similarity" although I do know what similar matrices are and that they have the same jordon canonical forms.

    It means: "write down all the possible Jordan canonical forms for nilpotent 5x5 matrices", and then we know that ANY nilpotent 5x5 matrix will be similar to exactly one of these.

    Tonio
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Similarity Matrices
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: December 4th 2010, 03:30 AM
  2. Need help with determining Similarity of two matrices
    Posted in the Advanced Algebra Forum
    Replies: 7
    Last Post: July 26th 2010, 04:31 AM
  3. Similarity of matrices...
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: May 20th 2010, 04:35 AM
  4. Similarity of Matrices
    Posted in the Advanced Algebra Forum
    Replies: 7
    Last Post: November 5th 2009, 10:14 AM
  5. Similarity and Digonalization in matrices
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: January 23rd 2008, 10:10 AM

Search Tags


/mathhelpforum @mathhelpforum