What is the meaning of Eigenvector?

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

A right eigenvector; given a matrix A, the eigenvector of the transformation "left-side multiplication by A."

eigenvector

eigenvector

Source: wiktionary.org