What's the difference between
and
Enter two words to compare and contrast their definitions, origins, and synonyms to better understand how those words are related.

Eigenvector vs Eigenbasis - What's the difference?

eigenvector | eigenbasis |

As nouns the difference between eigenvector and eigenbasis

is that eigenvector is a vector that is not rotated under a given linear transformation; a left or right eigenvector depending on context while eigenbasis is a basis for a vector space consisting entirely of eigenvectors.

eigenvector

English

Noun

(wikipedia eigenvector) (en noun)
  • (linear algebra) A vector that is not rotated under a given linear transformation; a left or right eigenvector depending on context.
  • (physics, engineering) A right eigenvector; a nonzero vector x such that, for a particular matrix A, A x = \lambda x for some scalar \lambda which is its eigenvalue and an eigenvalue of the matrix.

    • Synonyms

    * latent vector, proper vector

    Related terms

    * eigendecomposition * eigenfunction * eigenspace * eigenvalue

    See also

    * Mathworld article on eigenvectors ----

    eigenbasis

    English

    Noun

    (eigenbases)
  • (mathematics) A basis for a vector space consisting entirely of eigenvectors.