Efficiently computing eigenvalues and eigenvectors in Python

Let \(M\) be an \(n \times n\) matrix. A scalar \(\lambda \) is an eigenvalue of \(M\) if there is a non-zero vector \(x\) (called eigenvector) s.t.: $$M x = \lambda x$$Eigenvalues and eigenvectors are crucial in many fields of science. For example, ...