Associations to the word «Eigenvalue»

EIGENVALUE, noun. (linear algebra) A scalar, \(\lambda\!\), such that there exists a vector \(x\) (the corresponding eigenvector) for which the image of \(x\) under a given linear operator \(\rm A\!\) is equal to the image of \(x\) under multiplication by \(\lambda\); i.e. \({\rm A} x = \lambda x\!\)

EIGENVALUE, noun. (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant.