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Eigenvalues

Matrix Eigenvalues (WMA link)

Eigenvalues[m]

computes the eigenvalues of the matrix m.

By default, Sympy's routine is used. Sometimes this is slow and less good than the corresponding mpmath routine.

Use option Method->“mpmath” if you want to use mpmath's routine instead.

Numeric eigenvalues are sorted in order of decreasing absolute value:

• • Eigenvalues[{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}}]

Symbolic eigenvalues:

• • Eigenvalues[{{Cos[theta],Sin[theta],0},{-Sin[theta],Cos[theta],0},{0,0,1}}] // Sort

• • Eigenvalues[{{7, 1}, {-4, 3}}]

• • Eigenvalues[{{7, 1}, {-4, 3}}]