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Eigenvectors

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

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

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

FilledSmallSquare Eigenvectors finds numerical eigenvectors if m contains approximate real or complex numbers.

FilledSmallSquare Eigenvectors corresponding to degenerate eigenvalues are chosen to be linearly independent.

FilledSmallSquare Eigenvectors are not normalized.

FilledSmallSquare 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.

FilledSmallSquare Eigenvectors with numeric eigenvalues are sorted in order of decreasing absolute value of their eigenvalues.

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

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

FilledSmallSquare SparseArray objects can be used in Eigenvectors.

FilledSmallSquare See notes for Eigenvalues.

FilledSmallSquare See Section 1.8.3 and Section 3.7.9.

FilledSmallSquare See also: NullSpace.

FilledSmallSquare Related package: LinearAlgebra`Orthogonalization`.

FilledSmallSquare New in Version 1; modified in 5.0.

Further Examples