Hi all I am a physicist and a new user of Sage. I used the following command on "Sage Version 5.1, Release Date: 2012-07-09", to get the expression of eigenvalue and eigenvectors of the symmetric real 3x3 matrix.
var('g11,g12,g13,g22,g23,g33',domain='real') gamma=matrix(3,3,[g11,g12,g13,g12,g22,g23,g13,g23,g33]) eigs=gamma.eigenvectors_right()
It seems that this type of expression is unavailable, as it took forever to calculate on my laptop (Intel core i7) . So I would like to ask if I used the wrong command or mathematically the analytical expression is unavailable. Thanks very much.