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May 11, 2018 at 21:05 comment added xmonetx All right, thank you very much for your effort.
May 11, 2018 at 20:40 comment added Piotr Hajlasz @xmonetx My argument works if one eigenvalue is simple and you have no idea what happens to the others. Then it smoothly depends on the coefficients of the characteristic polynomial. Just read the proof and adapt it to the situation you have.
May 11, 2018 at 19:35 history answered Piotr Hajlasz CC BY-SA 4.0