EigenSystems

Eig(m)

Computes the eigenvalues and eigenvectors for the matrix \(m\). Returns two variables \(\Lambda\) (the eigenvalues) and \(X\) (the eigenvectors). Aliases: eig, eigen

>>> Eig({{3, 0}, {0, 4}}
= (Λ = {{3}, {4}}, X = {{1, 0}, {0, 1}})
>>> eig({{3, 0, 1}, {1, 0, 4}, {0, 0, 1}}
= (Λ = {{0}, {3}, {1}}, X = {{0, -0.9486832980505138, -0.1360827634879543}, {1, -0.3162277660168379, 0.9525793444156803}, {0, 0, 0.2721655269759086}})