Hi,
I am confused about the following session.
sage: var('a b c d t')
(a, b, c, d, t)
sage: M=matrix(2,[a,b,c,d])
sage: M
[a b]
[c d]
sage: M.eigenvalues()
[]
sage: M.charpoly(t)
(a - t)*(d - t) - b*c
sage: M.charpoly(t).solve(t)
[t == (-sqrt(d^2 - 2*a*d + 4*b*c + a^2) + d + a)/2, t == (sqrt(d^2 -
2*a*d + 4*b*c + a^2) + d + a)/2]
Looking at the source code it appears that M.eigenvalues() should be
more-or-less equivalent to M.charpoly(t).solve(t), but that doesn't
seem to be the case.
Mladen
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