This is documentation for Mathematica 6, which was
based on an earlier version of the Wolfram Language.

# 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[{m, a}, k]gives the first k generalized eigenvectors.
• Eigenvectors finds numerical eigenvectors if m contains approximate real or complex numbers.
• Eigenvectors corresponding to degenerate eigenvalues are chosen to be linearly independent.
• For an nn matrix, Eigenvectors always returns a list of length n. 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 .
• The option settings and can be used to specify that explicit radicals should be generated for all cubics and quartics.
Symbolic eigenvectors:
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Exact eigenvectors:
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Numerical value:
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Eigenvectors computed using numerical methods:
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 Scope   (4)
 Applications   (2)