Speakur

Word Pronunciation & Dictionary

eigenvector

Word Rarity Very rare

Frequency: Zipf frequency 1.94 in modern English

Syllables
eigen-vec-tor
IPA
17
Scrabble Score
11
Letters
3
Syllables
9
Unique Chars

Meaning

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

A right eigenvector; given a matrix A, the eigenvector of the transformation "left-side multiplication by A."

Example Sentences

Etymology

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.

Inflected Forms

eigenvectors (plural)

Derived Forms

eigenbivector eigenvectorial

Phrases

left eigenvector right eigenvector Mathworld article on eigenvectors

Frequently Paired Words

eigenbasis eigenbrain eigendecomposition eigenface eigenfunction eigenhead eigenmode eigenpair

Synonyms

characteristic vector latent vector proper vector

Questions

What does eigenvector mean?
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).
Where does eigenvector come from?
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.

How to pronounce eigenvector

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