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Thread: linear algebra bounds?

  1. December 8th 2011, 05:29 PM #1
    alphabeta89
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    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; December 10th 2011 at 12:09 AM.
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