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.