Determine of sum of matrices

01234556778 · **Joined:** Fri, 25 Feb 2011 12:10:04 UTC **Posts:** 14

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 $\det (\sum_1^{2008} A_k)=2009$ "

Shadow · **Posted:** Mon, 28 Feb 2011 16:02:38 UTC

You realize old competition problems usually have solutions posted online at the competition site, don't you?

01234556778 · **Joined:** Fri, 25 Feb 2011 12:10:04 UTC **Posts:** 14

I don't know which site posted it. Can you show me?

Shadow · **Posted:** Mon, 28 Feb 2011 16:31:16 UTC

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?

S.O.S. Mathematics CyberBoard

Determine of sum of matrices

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