Astrophysics (Index)About

eigenvalue

(λ)
(ratio between a vector and a linear transformation of that vector)

An eigenvalue (λ) is a scalar with a particular relationship to some particular matrix. An eigenvector of a matrix is a non-zero vector, which when multiplied by the (necessarily square) matrix (performing a linear transformation on the vector), produces a vector that is the same as that eigenvector multiplied by a scalar constant, the constant termed an eigenvalue of the matrix. A matrix may have more than one eigenvector and eigenvalue. Eigen-decomposition is the determination of an eigenvector and associated eigenvalue of a matrix. Eigenvalues and eigenvectors have applications in geometric transformations, in quantum mechanics, and in other physical phenomena.


(mathematics,physics)
Further reading:
https://en.wikipedia.org/wiki/Eigenvalues_and_eigenvectors
https://en.wiktionary.org/wiki/eigenvalue
http://dictionary.obspm.fr/index.php/index.php?showAll=1&formSearchTextfield=eigenvalue
https://mathworld.wolfram.com/Eigenvalue.html
https://web.auburn.edu/holmerr/2660/Textbook/eigenvalue-print.pdf
https://math.libretexts.org/Bookshelves/Linear_Algebra/A_First_Course_in_Linear_Algebra_(Kuttler)/07%3A_Spectral_Theory/7.01%3A_Eigenvalues_and_Eigenvectors_of_a_Matrix

Referenced by pages:
eigen-decomposition
LAMBDA

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