Results 1 to 1 of 1

Thread: linear algebra bounds?

  1. #1
    Junior Member
    Dec 2011

    linear algebra bounds?

    Assume A is a general {n}\times{n} matrix with entries \left | a_{ij} \right |\leq1 for 1\leq i,j \leq n. Prove that the matrix U in the PA=LU factoriation satisfies \left | a_{ij} \right |\leq 2^{n-1} for all 1\leq i,j \leq n.
    Last edited by CaptainBlack; Dec 10th 2011 at 01:09 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: Aug 1st 2011, 11:00 PM
  2. NonNegative Bounds in Linear Programming problem
    Posted in the Advanced Applied Math Forum
    Replies: 1
    Last Post: Apr 5th 2011, 08:10 PM
  3. Replies: 2
    Last Post: Dec 6th 2010, 04:03 PM
  4. Replies: 7
    Last Post: Aug 30th 2009, 11:03 AM
  5. Greatest lower bounds and least upper bounds
    Posted in the Calculus Forum
    Replies: 3
    Last Post: Mar 31st 2008, 07:31 PM

Search Tags

/mathhelpforum @mathhelpforum