> On 19 May 2016, at 07:48, Marek Mitros <ma...@mitros.org> wrote: > > Thank you for advice. Let me explain my plan, then we can judge whether > this advice work for me or it doesn't. > > I have group of size 5120 of complex matrices of size 16x16. In this group > I listed two conjugacy classes of involutions of size 10 and 80. Next I > wanted to change the basis in a way that mentioned 10 matrices are > diagonal. Therefore I obtained 16 vectors as intersections of eigenspaces. > Unfortunately these vectors are not unit length, so I tried to normalize > them.
You don't need to normalize them in order to construct an orthogonal basis -- that is only necessary for an orthonormal basis. So if you really just need a base change to diagonalize your matrices, that is possible without computing squares and normed vectors. Cheers, Max _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
