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May 11th, 2013, 08:33 AM   #1
Joined: Dec 2012

Posts: 3
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Gram matrix

Hi everbody,
i have to proof, that for a comlex matrix A is invertible if

is positive definite. That means for every


we know that

Do you have any ideas how to proof this? I'm not allowed to use any criterion based on eigenvalues.
Thank you very much
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gram, matrix

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