Word.ws English Dictionary

eigenvector

eigenvector noun: 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).

Noun

eigenvector (plural eigenvectors)

  1. 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).
    • 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 ).2025 March 22 (last accessed), “Lesson 11”, in University College London, archived from the original on 06 Oct 2021, 8.2 Method to find eigenvalues and eigenvectors, page 1
  2. A right eigenvector; given a matrix A, the eigenvector of the transformation "left-side multiplication by A."

eigenvector meaning in Hindi

eigenvector in Hindi

vector not rotated by linear transformation
अभिलक्षणिक सदिश abhilakṣaṇik sadiś

Synonyms of eigenvector

Forms of eigenvector

pluraleigenvectors

Origin of eigenvector

From eigen- + vector, a partial calque of German Eigenvektor. The prefix eigen- (also used in eigenvalue) was first used in 1904, by David Hilbert, and was possibly inspired by a related usage by Hermann von Helmholtz.

Words formed from eigenvector

Questions about eigenvector

What does eigenvector mean?
Eigenvector means 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).
What is eigenvector in Hindi?
Eigenvector in Hindi is अभिलक्षणिक सदिश (abhilakṣaṇik sadiś). See Eigenvector meaning in Hindi.
What part of speech is eigenvector?
Eigenvector is a noun.
What is the plural of eigenvector?
The plural of eigenvector is eigenvectors.

Words near eigenvector in the dictionary

  1. eigenvariables
  2. eigenvariate
  3. eigenvariates
  4. eigenvarieties
  5. eigenvariety
  6. eigenvector
  7. eigenvectorial
  8. eigenvectors
  9. eigenversor
  10. eigenversors
  11. eigenvoice

Source and license

Adapted from Wiktionary: eigenvector (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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