Differences
This shows you the differences between two versions of the page.
Both sides previous revision Previous revision Next revision | Previous revision | ||
eigenvalue [2013/09/03 12:26] nikolaj |
eigenvalue [2013/09/18 18:15] nikolaj |
||
---|---|---|---|
Line 1: | Line 1: | ||
===== Eigenvalue ===== | ===== Eigenvalue ===== | ||
==== Definition ==== | ==== Definition ==== | ||
- | | @#88DDEE: $V$...$F$-vectorspace | | + | | @#88DDEE: $V$ ... $F$-vectorspace | |
| @#88DDEE: $A\in\mathrm{End}(V)$ | | | @#88DDEE: $A\in\mathrm{End}(V)$ | | ||
- | | @#FFBB00: $\mathrm{EigenVal}(A)\equiv\{\lambda\ |\ \exists (v\in V).\ A\ v=\lambda\ v\}$ | | + | | @#FFBB00: $\lambda\in\mathrm{EigenVal}(A)$ | |
+ | |||
+ | | @#55EE55: $\exists v.\ A\ v=\lambda\ v$ | | ||
==== Discussion ==== | ==== Discussion ==== | ||
- | ==== Context ==== | + | ==== Parents ==== |
=== Subset of === | === Subset of === | ||
[[Field]] | [[Field]] | ||
=== Requirements === | === Requirements === | ||
[[Vector space endomorphism]] | [[Vector space endomorphism]] |