Let $a,b,c$ and $d$ such that the matrix $ \begin{pmatrix} a & b \\ c & d \end{pmatrix}\in\mathbb C^{2,2} $ has to two distinct eigenvalues. Give a neighbourhood $U\ne\mathbb C$ in which are both eigenvalues. How do one one handle this problem? I thought about Gerschgorin circles, but I am not sure. Any kind of help is appreciated!
2026-03-26 20:39:41.1774557581
Neighbourhood of two distinct eigenvalues
67 Views Asked by user519338 https://math.techqa.club/user/user519338/detail AtRelated Questions in LINEAR-ALGEBRA
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