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Nov 26, 2014 at 13:51 comment added Jiro All fine. I was just asking whether the restriction on $Q$ matters, but I already realized that it does not. So that the fact is true for any paris of conjugate-complex pairs eigenvalues and eigenvectors. And also your answer was short enough. Thanks
Nov 26, 2014 at 13:28 comment added Günter Rote @Sebastian, What do you mean, "any real matrix", for which matrix? Was my argument not short enough?
Nov 26, 2014 at 11:55 vote accept Jiro
Nov 26, 2014 at 11:55 comment added Jiro Thanks for the answer. I guess this is also true for any real matrix, right? Is there a short argument for this? Or textbook reference. Sorry, this is definitely no research level question.
Nov 26, 2014 at 0:25 history answered Günter Rote CC BY-SA 3.0