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 November 21st, 2017, 01:40 PM #1 Member   Joined: Jan 2016 From: Blackpool Posts: 85 Thanks: 2 Matrix example Find a matrix in $m_{2}(\mathbb{Q})$ such that the Eigen values do not belong in $\mathbb{Q}$
 November 21st, 2017, 01:59 PM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 1,757 Thanks: 900 trivial $\begin{pmatrix}0 &2\\1 &0 \end{pmatrix}$ Eigenvalues $\pm \sqrt{2}$ Thanks from Country Boy and Jaket1

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