例句與造句

1. Generalized eigenvectors corresponding to distinct eigenvalues are linearly independent.
2. In particular, for all generalized eigenvectors associated with
3. Defective matrices are not mentioned explicitly, although there are some oblique references to generalized eigenvectors.
4. For a real matrix the nonreal eigenvectors and generalized eigenvectors can always be chosen to form complex conjugate pairs.
5. Consequently, there will be three linearly independent generalized eigenvectors; one each of ranks 3, 2 and 1.
6. It's difficult to find generalized eigenvectors in a sentence. 用generalized eigenvectors造句挺難的
7. To check that " T " has no generalized eigenvectors with eigenvalue 1 / 2 it suffices to show that
8. However, every eigenvalue with algebraic multiplicity " m " always has " m " linearly independent generalized eigenvectors.
9. For defective matrices, the notion of eigenvectors generalizes to generalized eigenvectors and the diagonal matrix of eigenvalues generalizes to the Jordan normal form.
10. Using generalized eigenvectors, a set of linearly independent eigenvectors of A can be extended, if necessary, to a complete basis for V.
11. If \ lambda is an eigenvalue of algebraic multiplicity \ mu, then A will have \ mu linearly independent generalized eigenvectors corresponding to \ lambda.
12. The set spanned by all generalized eigenvectors for a given \ lambda, forms the "'generalized eigenspace "'for \ lambda.
13. In general, the numbers \ rho _ k of linearly independent generalized eigenvectors of rank " k " will not always be equal.
14. If \ lambda is an eigenvalue of A of algebraic multiplicity \ mu, then A will have \ mu linearly independent generalized eigenvectors corresponding to \ lambda.
15. Once we have determined the number of generalized eigenvectors of each rank that a canonical basis has, we can obtain the vectors explicitly ( see generalized eigenvector ).
16. Now using equations ( ), we obtain \ bold x _ 2 and \ bold x _ 1 as generalized eigenvectors of rank 2 and 1 respectively, where
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