This is documentation for Mathematica 3, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.2)
 Documentation / Mathematica / Built-in Functions / Lists and Matrices / Matrix Operations  /

  • Eigenvectors[ m ] gives a list of the eigenvectors of the square matrix m.
  • Eigenvectors finds numerical eigenvectors if m contains approximate real numbers.
  • Eigenvectors corresponding to degenerate eigenvalues are chosen to be linearly independent.
  • Eigenvectors are not normalized.
  • For an matrix, Eigenvectors always returns a list of length . The list contains each of the independent eigenvectors of the matrix, followed if necessary by an appropriate number of vectors of zeros.
  • Eigenvectors[ m , ZeroTest -> test ] applies test to determine whether expressions should be assumed to be zero. The default setting is ZeroTest -> Automatic.
  • See the Mathematica book: Section 1.8.3Section 3.7.9.
  • See also: NullSpace.
  • Related package: LinearAlgebra`Orthogonalization`.

    Further Examples

    See the Further Examples for Eigensystem.