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Eigenvectors

Usage

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.


Notes

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 also: NullSpace.
• Related package: LinearAlgebra`Orthogonalization`.
• New in Version 1; modified in 5.
• Advanced Documentation.


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