Decide if exists $\displaystyle M \in M_n( \mathbb{Z})$ so that $\displaystyle m_M \in [ \mathbb{Q}[x] - \mathbb{Z}[x]$

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- Sep 2nd 2007, 06:59 PMkezmanMinimal Polinomial
Decide if exists $\displaystyle M \in M_n( \mathbb{Z})$ so that $\displaystyle m_M \in [ \mathbb{Q}[x] - \mathbb{Z}[x]$

- Sep 2nd 2007, 07:03 PMtopsquark
- Sep 3rd 2007, 02:57 PMkezmanQuote:

Ummmm.... Yeah. I understand that.

NOT!!

Please explain what your question is with a little more explanation?

Decide if exists a nxn matrix (M) with integer "Coefficients" so that the Minimal polynomial Has "Rational but not integer" "Coefficients"