Associations to the word «Eigenvector»

EIGENVECTOR, noun. (linear algebra) A vector that is not rotated under a given linear transformation; a left or right eigenvector depending on context.

EIGENVECTOR, noun. (physics) (engineering) A right eigenvector; a nonzero vector \(x\) such that, for a particular matrix \(A\), \(A x = \lambda x\) for some scalar \(\lambda\) which is its eigenvalue and an eigenvalue of the matrix.