Eigenvalue
Edit this notationSymbol
λ
Definition
An eigenvalue is a scalar associated with a linear system of equations that scales an eigenvector of a linear transformation.
Usage
Used in studying dynamic systems, quantum mechanics, and data reduction techniques like Principal Component Analysis.
Examples
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Eigenvalue equation
A\mathbf{v} = \lambda\mathbf{v} -
Characteristic polynomial
\det(A - \lambda I) = 0