Definition of "eigenvector"

(linear algebra) A vector that is not rotated under a particular linear transformation; a left or right eigenvector depending on context; (more formally) given a linear transformation A, a vector x such that Ax=λx [or xA=λx] for some scalar λ (called the eigenvalue).  examples

(physics, engineering) A right eigenvector; given a matrix A, the eigenvector of the transformation "left-side multiplication by A."  examples