Math 218: Matrices and Vector Spaces

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Eigenvalues

We can check if l is an eigenvalue of A by studying (l*identity_matrix(A.nrows())-A).rref().

More efficiently, we can directly check if l is an eigenvalue of A with (l*identity_matrix(A.nrows())-A).is_singular().

The command (l*identity_matrix(A.nrows())-A).right_nullity() calculates the geometric multiplicity of an eigenvalue.