Nonvanishing minors of eigenvector matrices and consequences
For a matrix M∈Kn×n{\bf{M}}\in {{\mathbb{K}}}^{n\times n}, we establish a condition on the Galois group of the characteristic polynomial φM{\varphi }_{{\bf{M}}} that induces nonvanishing of the minors of the eigenvector matrix of M{\bf{M}}. For integer matrices, recent results by Eberhard show that,...
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| Format: | Article |
| Language: | English |
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De Gruyter
2024-08-01
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| Series: | Special Matrices |
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| Online Access: | https://doi.org/10.1515/spma-2024-0020 |