Comment #2 on issue 2172 by asmeurer: diagonalize method to Matrix
http://code.google.com/p/sympy/issues/detail?id=2172

1. I think we should default to complex, but maybe add a keyword option to only do it over the reals. Actually, if we really wanted to, we could use Poly and allow the characteristic polynomial to be split over any algebraic field.

In any case, I think we should just raise MatrixError if it is not diagonalizable over the given field.

2. I think we should output the tuple (P, D, P^-1).

I don't know much about Jordan Form, but I've no doubt that someone would find it useful if it were implemented.

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