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eigenvalue [2013/09/18 18:15] nikolaj |
eigenvalue [2014/03/21 11:11] |
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| - | ===== Eigenvalue ===== | ||
| - | ==== Definition ==== | ||
| - | | @#88DDEE: $V$...$F$-vectorspace | | ||
| - | | @#88DDEE: $A\in\mathrm{End}(V)$ | | ||
| - | | @#FFBB00: $\lambda\in\mathrm{EigenVal}(A)\equiv\{\lambda\ |\ \exists (v\in V).\ A\ v=\lambda\ v\}$ | | ||
| - | |||
| - | | @#55EE55: $\exists v.\ A\ v=\lambda\ v$ | | ||
| - | |||
| - | ==== Discussion ==== | ||
| - | ==== Parents ==== | ||
| - | === Subset of === | ||
| - | [[Field]] | ||
| - | === Requirements === | ||
| - | [[Vector space endomorphism]] | ||
