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Mar 5, 2018 at 17:10 comment added Federico Poloni @NikWeaver Hmm, good point, you are correct.
Mar 5, 2018 at 16:54 comment added Nik Weaver Interesting, but since $a$ and $b$ are arbitrary this doesn't rule out that any eight real numbers could be the eigenvalues of such a matrix ...
Mar 5, 2018 at 16:16 history answered Federico Poloni CC BY-SA 3.0