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Minimal polynomial and the rank of principal submatrices of a matrix |
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| Authors: | Miroslav Fiedler |
| Affiliation: | a Czechoslovak Academy of Sciences, Praha, and Auburn University, Auburn, AL |
| Abstract: | The following theorem is proved: If r is the degree of the minimal polynomial of a matrix A then there exists a principal submatrix of A with order r and rank at least r-1. |
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