# coincident characteristic values

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## 3 matching pages

##### 1: 2.9 Difference Equations

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###### §2.9(ii) Coincident Characteristic Values

…##### 2: 2.7 Differential Equations

##### 3: 3.2 Linear Algebra

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►is called the

*characteristic polynomial*of $\mathbf{A}$ and its zeros are the eigenvalues of $\mathbf{A}$. The*multiplicity*of an eigenvalue is its multiplicity as a zero of the characteristic polynomial (§3.8(i)). … … ►When $\mathbf{A}$ is a symmetric matrix, the left and right eigenvectors coincide, yielding $\kappa (\lambda )=1$, and the calculation of its eigenvalues is a well-conditioned problem. … ►Its characteristic polynomial can be obtained from the recursion …