Difference between revisions of "Talk:Eigenvalue"
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[[User:FrankC|FrankC aka ComedyFan]] 14:54, 2 May 2010 (EDT) | [[User:FrankC|FrankC aka ComedyFan]] 14:54, 2 May 2010 (EDT) | ||
| − | :Oh, ''you're'' back. I don't think you know what you're talking about on this one. [[User:JacobB|JacobB]] 15:04, 2 May 2010 (EDT) | + | :Oh, ''you're'' back. I don't think you know what you're talking about on this one. [[User:JacobB|JacobB]] 15:04, 2 May 2010 (EDT |
| + | |||
| + | ::So please, enlighten me. [[User:FrankC|FrankC aka ComedyFan]] 15:05, 2 May 2010 (EDT) | ||
Revision as of 19:05, May 2, 2010
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)
- Oh, you're back. I don't think you know what you're talking about on this one. JacobB 15:04, 2 May 2010 (EDT
- So please, enlighten me. FrankC aka ComedyFan 15:05, 2 May 2010 (EDT)