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Thread: Prove the matrix is invertible.

  1. February 1st 2010, 09:53 PM #1
    tianye
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    Prove the matrix is invertible.

    The matrix is invertible and the inverse of A has integer entries.Can you prove that? Thanks.
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  2. February 2nd 2010, 12:27 AM #2
    Opalg
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    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.
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