Dictionaries › English

eigenvector

The English word “eigenvector” has 2 meanings listed here.

noun

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

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.

Keep exploring: in the interactive dictionary every word of a definition is a link. Open “eigenvector” there

More English words

About this dictionary

The English dictionary on Glottosphere has 650,529 entries with a page. Browse the English dictionary.

Definitions are from Wiktionary, extracted by Kaikki.org, and are available under the CC BY-SA 4.0 licence.