Eigenvectors

Eigenvectors[m] gives a list of the eigenvectors of the square matrix m.

Eigenvectors[m, a] gives the generalized eigenvectors of m with respect to a.

Eigenvectors[m, k] gives the first k eigenvectors of m.

Eigenvectors finds numerical eigenvectors if m contains approximate real or complex 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 with numeric eigenvalues are sorted in order of decreasing absolute value of their eigenvalues.

Eigenvectors[m, ZeroTest -> test] applies test to determine whether expressions should be assumed to be zero. The default setting is ZeroTest -> Automatic.

Eigenvectors[m, spec] is equivalent to Take[Eigenvectors[m], spec].

SparseArray objects can be used in Eigenvectors.

See notes for Eigenvalues.

See Section 1.8.3 and Section 3.7.9.

See also: NullSpace.

Related package: LinearAlgebra`Orthogonalization`.

New in Version 1; modified in 5.0.

Further Examples