A unit length vector that retains its direction when multiplied to the matrix that it corresponds to. An ( * ) matrix can have as many as unique eigenvectors, each of which will have its own eigenvalue.

A nonzero vector is an eigenvector of the square matrix if there exists a nonzero number such that . Eigenvectors are used to determine stable and unstable directions of critical points of systems of first-order, autonomous differential equations.

The 'ith' vector in multi-channel space which is aligned with maximum variance and is orthogonal to the previous 'i-1' eigenvectors.

a (representative member of a) fixed point of the map on the projective plane induced by a linear map