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Glite Dictionary
eigenvector

eigenvector

1 9.5
A non-zero arrow that only gets longer or shorter and does not change direction under a mathematical change
  • noun
  • /ˈaɪɡənˌvɛktər/
  • Specialized
: vector propio
  • Let D be a diagonal matrix of the eigenvalues and U the matrix with the corresponding eigenvectors as columns.
  • eigenvalues and eigenvectors
  • eigenvector that corresponds

Examples

  • The multidimensional eigenvectors help distinguish the seemingly mixed data of A1-A4.

    Academic text (2017)

  • Eigenvectors and loading values were extracted for the first two principal components.

    Academic text (2014)

  • The task is to find the corresponding eigenvector, E.

    Academic text (1997)

  • The value of d determines the position of the two eigenvectors.

    Academic text (2010)

  • We're going to find the eigenvectors and eigenvalues.

  • Well, it tells me that the eigenvectors are orthogonal.

  • The straight dashed lines show the directions of the eigenvectors.

    Academic text (2010)

  • There was no statistically significant difference between optimally weighted (using eigenvalues and eigenvectors) and uniformly weighted spatial filters.

    Academic text (1992)

  • In linear algebra, an eigenvector is a vector that only changes in length when a linear transformation is applied.

  • To solve the equation, we need to compute the eigenvector corresponding to the given eigenvalue.

Surface Forms

eigenvector singular
eigenvectors plural

Etymology

Eigenvector comes from the German eigen meaning 'own' and the word vector meaning 'something that points or moves'. So an eigenvector is a vector that keeps its own direction under a linear transformation and only changes in size.