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1: 3.2 Linear Algebra
To an eigenvalue of multiplicity m , there correspond m linearly independent eigenvectors provided that 𝐀 is nondefective, that is, 𝐀 has a complete set of n linearly independent eigenvectors. … If 𝐀 is nondefective and λ is a simple zero of p n ( λ ) , then the sensitivity of λ to small perturbations in the matrix 𝐀 is measured by the condition number