"Eigenvalues and vectors in radical format"
Hi all
I'm trying to compute eigenspaces of matrices with the possibility of
radicals. I'm following the example of the thread
"Eigenvalues and vectors in radical format"
As explaned, I use SR as ring :
sage: M = matrix(SR,[[1,4],[4,2]])
sage: M.eigenvalues()
[-1/2*sqrt(65) + 3/2, 1/2*sqrt(65) + 3/2]
This is fine, but for the eigenvectors, I have a problem : both
M.eigenvectors_left() and _right() give the error
sage: A.eigenvectors_left()
---------------------------------------------------------------------------
TypeError Traceback (most recent call last)
/home/moky/<ipython console> in <module>()
/home/moky/Sage/local/lib/python2.6/site-packages/sage/matrix/matrix2.so
in sage.matrix.matrix2.Matrix.eigenvectors_left
(sage/matrix/matrix2.c:22459)()
/home/moky/Sage/local/lib/python2.6/site-packages/sage/matrix/matrix2.so
in sage.matrix.matrix2.Matrix.eigenspaces_left
(sage/matrix/matrix2.c:21093)()
TypeError: degree() takes exactly one argument (0 given)
---------------------------------------------------------------------------
How do I have to compute eigenspaces of a matrix whose eigenvalues could
have a radical form ?
Or, alternatively, how do I get the radical form of a in the following ?
sage: sageMatrix = matrix(QQ,[[1,4],[4,2]])
sage: eig=sageMatrix.eigenvalues()
sage: eig[0]
sage: a=eig[0]
My aim is to work on exercises of linear algebra for the first
university year : the result will never contain more than one easy
radical, so the length of the display will not be an issue.
Many thanks
Have a nice WE
Laurent
--
To post to this group, send email to sage-support@googlegroups.com
To unsubscribe from this group, send email to
sage-support+unsubscr...@googlegroups.com
For more options, visit this group at
http://groups.google.com/group/sage-support
URL: http://www.sagemath.org
