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How to pronounce “eigenelement”
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Pronunciation guide for eigenelement
- Learning goal
- Practice the English pronunciation of eigenelement with real speech in context.
- Available examples
- 0 YouTube examples
- Definition summary
- (mathematics) A nonzero element
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A Deep Dive Into “eigenelement”
Meaning
- [Noun]
- (mathematics) A nonzero element
- m
- {\displaystyle m}
- of a semimodule
- M
- {\displaystyle M}
- , such that there exists an endomorphism
- A
- {\displaystyle A}
- on
- M
- {\displaystyle M}
- and a real number
- r
- {\displaystyle r}
- (a corresponding eigenvalue) for which the image of
- m
- {\displaystyle m}
- under
- A
- {\displaystyle \mathrm {A} }
- is equal to the product of
- r
- {\displaystyle r}
- times
- m
- {\displaystyle m}
- ; i.e.
- m
- A
- =
- r
- m
- {\displaystyle m{A}=rm}
- .
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