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Mathematica > Matrix Operations >

Built-in Mathematica Symbol

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 ZeroTest->Automatic.