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]. • New in Version 1; modified in 5. • Advanced Documentation.
|