# Differences

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 eigenvalue [2013/09/18 18:15]nikolaj eigenvalue [2014/03/21 11:11] (current) Both sides previous revision Previous revision 2013/09/18 18:15 nikolaj 2013/09/18 18:15 nikolaj 2013/09/18 18:15 nikolaj 2013/09/06 22:04 external edit2013/09/03 12:26 nikolaj 2013/08/31 22:30 nikolaj created Next revision Previous revision 2013/09/18 18:15 nikolaj 2013/09/18 18:15 nikolaj 2013/09/18 18:15 nikolaj 2013/09/06 22:04 external edit2013/09/03 12:26 nikolaj 2013/08/31 22:30 nikolaj created Line 1: Line 1: ===== Eigenvalue ===== ===== Eigenvalue ===== - ==== Definition ​==== + ==== Set ==== - | @#88DDEE: $V$...$F$-vectorspace | + | @#55CCEE: context ​    | @#55CCEE: $V$ ... $F$-vectorspace | - | @#88DDEE: $A\in\mathrm{End}(V)$ | + | @#55CCEE: context ​    | @#55CCEE: $A\in\mathrm{End}(V)$ | - | @#FFBB00: $\lambda\in\mathrm{EigenVal}(A)\equiv\{\lambda\ |\ \exists (v\in V).\ A\ v=\lambda\ v\}$ | + | @#FFBB00: definiendum ​| @#FFBB00: $\lambda\in\mathrm{EigenVal}(A)$ | - | @#55EE55: $\exists v.\ A\ v=\lambda\ v$ | + | @#55EE55: postulate ​  | @#55EE55: $\exists v.\ A\ v=\lambda\ v$ | ==== Discussion ==== ==== Discussion ==== Line 12: Line 12: === Subset of === === Subset of === [[Field]] [[Field]] - === Requirements ​=== + === Context ​=== [[Vector space endomorphism]] [[Vector space endomorphism]]