Look up: Eigenvector

1. eigenvector
   (mathematics) The factor by which a linear transformation multiplies one of its eigenvectors. (1995-04-10)
   Found on http://foldoc.org/eigenvector
   
   
2. Eigenvector
   A unit length vector that retains its direction when multiplied to the matrix that it corresponds to. An (n * n) matrix can have as many as n unique eigenvectors, each of which will have its own eigenvalue.
   Found on http://mitpress.mit.edu/books/FLAOH/cbnh
   
   
3. eigenvector
   For each eigenvalue L of a square matrix A there is an associated right eigenvector, denoted b that has the dimension of the number of rows of A. The right eigenvector satisfies: Ab = Lb Contexts: linear algebra
   Found on http://www.econterms.com/glossary.cgi?qu
   
   
4. eigenvector
   (from the article `algebra, linear`) When studying linear transformations, it is extremely useful to find nonzero vectors whose direction is left unchanged by the transformation. These ...
   Found on http://www.britannica.com/eb/a-z/e/14
   
   
5. eigenvector
   If a (scalar) value, t, satisfies Ax = tx for some vector, x not= 0, it is an eigenvalue of the matrix A, and x is an eigenvector. In mathematical programming this arises in the context of convergence analysis, where A is the hessian of some merit function, such as the objective or Lagrangian.
   Found on http://glossary.computing.society.inform