eigenvalueˈaɪ gənˌvæl yu
eigenvalue (n)
eigenvalue (n)
- plural
- eigenvalues
English Definitions:
eigenvalue, eigenvalue of a matrix, eigenvalue of a square matrix, characteristic root of a square matrix (noun)
(mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant
eigenvalue (Noun)
The change in magnitude of a vector that does not change in direction under a given linear transformation; a scalar factor by which an eigenvector is multiplied under such a transformation.
eigenvalue
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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"eigenvalue." Kamus.net. STANDS4 LLC, 2024. Web. 29 Mar. 2024. <https://www.kamus.net/english/eigenvalue>.
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