Comment #12 on issue 2269 by [email protected]: Symplification of transformation P applying to diagonal matrix.
http://code.google.com/p/sympy/issues/detail?id=2269

So I have implemented the simplification within the eigenvects function if the flag 'integers' is set to true. Going back to the diagonalize method in order to put the flag I saw this:

   else:
            if self._eigenvects == None:
                self._eigenvects = self.eigenvects()

I can have the self.eigenvects(integers=True) but if _eigenvects isn't empty, then the eigenvectors won't be normalized.

So would it be better to have the simplification within the diagonalize function?

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