Results 1 to 3 of 3

Math Help - upper triangle

  1. #1
    Super Member
    Joined
    Aug 2009
    Posts
    639

    upper triangle

    how do you find an invertible matrix R such that R^(-1) AR is upper triangular..where assuming A is not diagonalizable.

    eg
    0 1 1
    -1 2 1
    0 0 1
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Drexel28's Avatar
    Joined
    Nov 2009
    From
    Berkeley, California
    Posts
    4,563
    Thanks
    21
    Quote Originally Posted by alexandrabel90 View Post
    how do you find an invertible matrix R such that R^(-1) AR is upper triangular..where assuming A is not diagonalizable.

    eg
    0 1 1
    -1 2 1
    0 0 1
    How do you triangularize a matrix? See here
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Mar 2010
    From
    Florida
    Posts
    3,093
    Thanks
    5
    I think you can use the QR factorization. Yup that will do it.

    http://en.wikipedia.org/wiki/QR_decomposition
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: January 18th 2011, 09:24 PM
  2. Replies: 3
    Last Post: April 30th 2009, 08:41 AM
  3. Replies: 1
    Last Post: October 28th 2008, 08:02 PM
  4. Replies: 7
    Last Post: July 19th 2008, 07:53 AM
  5. Replies: 27
    Last Post: April 27th 2008, 11:36 AM

Search Tags


/mathhelpforum @mathhelpforum