Word.ws English Dictionary

eigenvectors

eigenvectors is the plural of eigenvector.

Meaning of eigenvector

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."

Phrases with eigenvectors

Questions about eigenvectors

What is eigenvectors the plural of?
Eigenvectors is the plural of eigenvector.

Words near eigenvectors in the dictionary

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

Source and license

Adapted from Wiktionary: eigenvectors (page history and authors); 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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