Eigenvector
Definition, Meaning & Examples
Part of speech noun
Quick meaning: Eigenvector is a noun meaning (physics, engineering) A right eigenvector; given a matrix A, the eigenvector of the transformation "left-side multiplication by A.".
Meaning
(physics, engineering) A right eigenvector; given a matrix A, the eigenvector of the transformation "left-side multiplication by A.".
More Meanings
- (linear algebra) A vector that is only scaled (not rotated out of its span) under a particular linear transformation; a left or right eigenvector depending on context; (more formally) given a linear transformation A, a vector x such that Ax=λx [or xA=λx] for some scalar λ (called the eigenvalue).
Example Sentences
Both equations give the relation x₁ = −x₂. Therefore the set of eigenvectors corresponding to λ = 2 is given by: […] An eigenvector corresponding to λ₁ = 2 is ( −1 1 ).
Word Forms
- eigenvectors
Related Words
Related dictionary entries include eigenvalue, eigensymbol, eigenaxis, eigenbivector, eigenpolynomial, eigenspace.
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Sources & Attribution
FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0
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