What does eigenvector mean?

Definitions for eigenvector
eigen·vec·tor

This dictionary definitions page includes all the possible meanings, example usage and translations of the word eigenvector.

Wiktionary

  1. eigenvectornoun

    A vector that is not rotated under a given linear transformation; a left or right eigenvector depending on context.

  2. eigenvectornoun

    A right eigenvector; a nonzero vector such that, for a particular matrix , for some scalar which is its eigenvalue and an eigenvalue of the matrix.

Wikipedia

  1. eigenvector

    In linear algebra, an eigenvector () or characteristic vector of a linear transformation is a nonzero vector that changes at most by a scalar factor when that linear transformation is applied to it. The corresponding eigenvalue, often denoted by λ {\displaystyle \lambda } , is the factor by which the eigenvector is scaled. Geometrically, an eigenvector, corresponding to a real nonzero eigenvalue, points in a direction in which it is stretched by the transformation and the eigenvalue is the factor by which it is stretched. If the eigenvalue is negative, the direction is reversed. Loosely speaking, in a multidimensional vector space, the eigenvector is not rotated.

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Numerology

  1. Chaldean Numerology

    The numerical value of eigenvector in Chaldean Numerology is: 1

  2. Pythagorean Numerology

    The numerical value of eigenvector in Pythagorean Numerology is: 6

Popularity rank by frequency of use

eigenvector#10000#68907#100000

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"eigenvector." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/eigenvector>.

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