Eigenvalue (English)
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Definition (advanced level)
The factor by which an eigenvector is multiplied when its matrix is applied to it.
Definition (undergraduate level)
λ is an eigenvalue of the matrix A if and only if there is a non-zero vector v such that Av=λv. v is then called an eigenvector.
Relations
- broader:
- (en) Use of numbers
- references:
- (en) Eigenvector
- referenced:
- (en) Characteristic equation
- (en) Eigenvalues of a Hermitian matrix
- (en) Eigenvalues of a real symmetric matrix
- (en) Eigenvalues of a skew-hermitian matrix
- (en) Eigenvalues of a skew-symmetric matrix
- (en) Eigenvalues of a unitary matrix
- (en) Eigenvalues of an orthogonal matrix
- (en) Lambda
- (en) Positive definite matrix
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