What does eigenspace mean?

Definitions for eigenspace
eigenspace

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

Wiktionary

  1. eigenspacenoun

    A set of the eigenvectors associated with a particular eigenvalue, together with the zero vector.

Wikipedia

  1. eigenspace

    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 eigenspace in Chaldean Numerology is: 3

  2. Pythagorean Numerology

    The numerical value of eigenspace in Pythagorean Numerology is: 3

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"eigenspace." Definitions.net. STANDS4 LLC, 2024. Web. 24 Apr. 2024. <https://www.definitions.net/definition/eigenspace>.

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