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If $A \in \mathbb{R}_{n\times n}$ has only integer entries, show that the only rational characteristic values of A are integers.

I have absolutely no idea how to approach this problem.

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    Please make the body of the post self-contained. You don't expect a book to start at the spine, do you? The subject line is not part of the post, it's an indexing feature.2012-07-15

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