On Nov 6, 9:07 pm, "Mike Hansen" <[EMAIL PROTECTED]> wrote: > I'm not sure how to covert those sqrt expressions into what you want. > However, you can see that they are what you're expecting: > > sage: A = matrix([[-1,-1+I],[1,0]]) > sage: evs = A.eigenvalues(); evs > [(-sqrt(4*I - 3) - 1)/2, (sqrt(4*I - 3) - 1)/2] > sage: map(CC, evs) > [-1.00000000000000 - 1.00000000000000*I, 1.00000000000000*I]
or sage: [x.n() for x in evs] [-1.00000000000000 - 1.00000000000000*I, 1.00000000000000*I] or (since .n() has many synonyms) sage: N(evs[0]) -1.00000000000000 - 1.00000000000000*I (Note that (1+2i)^2 = -3 + 4i, so your expressions are (-1 +/- (1+2i))/ 2, which gives the numbers you want.) John --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
