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### How should I get symbolic expression of eigenvalues and eigenvectors of a real symmetric matrix 3x3

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.

 2 indent code slelievre 15389 ●18 ●144 ●304 http://carva.org/samue...

### How should I get symbolic expression of eigenvalues and eigenvectors of a real symmetric matrix 3x3

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()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.