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Eigenvalues in unit disk for a 2×2 block matrix

Crossposted from Mathematics. Consider the $2\times 2$ matrix \begin{align*} Q = \begin{bmatrix} 1 & 1 \\ 0 & a \end{bmatrix} - \epsilon \begin{bmatrix} 1 & 0 \\ 1 & 0 …
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