Talk:Eigenvalue
This is an old revision of this page, as edited by FrankC (talk | contribs) at 18:54, May 2, 2010. It may differ significantly from current revision.
Question about real vs. comples spaces
In the definition, only real spaces are taken into account. So it doesn't make sense to speak of a complex eigenvalue, as for real matrices and real vectors the equation
- <math>A\boldsymbol{x}=\lambda\boldsymbol{x}</math>
cannot be solved for a non-real λ (on the left hand side, there will always be a real vector!): only the real roots of the characteristic polynom are eigenvalues!
FrankC aka ComedyFan 14:54, 2 May 2010 (EDT)