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PostPosted: Mon, 28 Feb 2011 15:42:06 UTC 
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Help me this problem. Thank you.
"Let a_1,a_2,\ldots,a_{2008} are real numbers. Prove that exist square matrices n\times n such as: \det A_k=a_k \quad \forall k=1,2,\ldots ,2008 and \det (\sum_1^{2008} A_k)=2009"


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PostPosted: Mon, 28 Feb 2011 16:02:38 UTC 
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You realize old competition problems usually have solutions posted online at the competition site, don't you?

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PostPosted: Mon, 28 Feb 2011 16:28:11 UTC 
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I don't know which site posted it. Can you show me?


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PostPosted: Mon, 28 Feb 2011 16:31:16 UTC 
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I don't know either, but whatever it was, it looks like it's from 2008 or 2009.

Where did you get this problem from originally?

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