> Over R? Over C? > From my limited experience in tutoring linear algebra to undergrads, I > only saw confusion when > eigenvalues were required to be in R. > I would never go for this in any class I teach myself; I would always > say that we allow any root of > det(A-xI) to occur, not only real one. > > Dima >
If you are talking about vector spaces over a field, what makes sense is to consider only the eigenvalues that lie in that field. If you talk about plain matrices, that's another stuff (the same matrix may represent an endomorphism of different vector spaces). But considering that in sage the matrices have a base ring, i don't consider the idea of taking the eigenvalues in that same base ring to be stupid. -- To post to this group, send an email to [email protected] To unsubscribe from this group, send an email to [email protected] For more options, visit this group at http://groups.google.com/group/sage-devel URL: http://www.sagemath.org
