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eigenvalue [2013/09/18 18:15] nikolaj |
eigenvalue [2013/09/18 18:15] nikolaj |
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| ===== 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: $\lambda\in\mathrm{EigenVal}(A)\equiv\{\lambda\ |\ \exists (v\in V).\ A\ v=\lambda\ v\}$ | | + | | @#FFBB00: $\lambda\in\mathrm{EigenVal}(A)$ | |
| | @#55EE55: $\exists v.\ A\ v=\lambda\ v$ | | | @#55EE55: $\exists v.\ A\ v=\lambda\ v$ | | ||
