# nondefective

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##### 1: 3.2 Linear Algebra

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►To an eigenvalue of multiplicity $m$, there correspond $m$ linearly independent eigenvectors provided that $\mathbf{A}$ is

*nondefective*, that is, $\mathbf{A}$ has a complete set of $n$ linearly independent eigenvectors. … ►If $\mathbf{A}$ is nondefective and $\lambda $ is a simple zero of ${p}_{n}(\lambda )$, then the sensitivity of $\lambda $ to small perturbations in the matrix $\mathbf{A}$ is measured by the*condition number*…