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