Results 1 to 2 of 2

Math Help - Prove the matrix is invertible.

  1. #1
    Newbie
    Joined
    Jan 2010
    Posts
    13

    Prove the matrix is invertible.

    The matrix is invertible and the inverse of A has integer entries.Can you prove that? Thanks.
    Attached Thumbnails Attached Thumbnails Prove the matrix is invertible.-.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Opalg's Avatar
    Joined
    Aug 2007
    From
    Leeds, UK
    Posts
    4,041
    Thanks
    7
    This is a Hilbert matrix. There is an outline proof that its inverse has integer entries in the delightful paper Tricks or treats with the Hilbert matrix, by Man-Duen Choi, available as a pdf download here.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Prove that an nxn matrix is invertible
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: October 7th 2011, 11:09 AM
  2. Prove this matrix is invertible
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: October 17th 2010, 07:42 AM
  3. Prove that matrix is invertible
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: February 14th 2010, 07:08 AM
  4. Prove that a matrix in NOT invertible if an eignvalue is 0
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: December 7th 2008, 09:18 AM
  5. Replies: 1
    Last Post: June 14th 2008, 05:22 PM

Search Tags


/mathhelpforum @mathhelpforum