EIGENVALUE

noun
14 Scrabble
19 WWF
E 1
I 1
G 2
E 1
N 1
V 4
A 1
L 1
U 1
E 1

Definition

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

"The eigenvalues \lambda of a square transformation matrix \mathrm{M} may be found by solving \det(\mathrm{M} - \lambda\mathrm{I}) = 0."

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