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November 21st, 2017, 01:40 PM   #1
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Matrix example

Find a matrix in $m_{2}(\mathbb{Q})$ such that the Eigen values do not belong in $\mathbb{Q}$
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November 21st, 2017, 01:59 PM   #2
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trivial

$\begin{pmatrix}0 &2\\1 &0 \end{pmatrix}$

Eigenvalues $\pm \sqrt{2}$
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