On 2-dimensional invariant subspaces of matrices
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866918305172815872 |
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| author | Al-Raisi, Omar Shahryari, Mohammad |
| author_facet | Al-Raisi, Omar Shahryari, Mohammad |
| contents | We introduce a unified method for study of 2-dimensional invariant subspaces of matrices and their corresponding super-eigenvalues. As a novel application to non-commutative algebra, we present a connection between the eigenvalues of matrices with entries in the ring Mat_2(F) and 2-dimensional invariant subspaces of matrices with entries in the field F. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_18143 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On 2-dimensional invariant subspaces of matrices Al-Raisi, Omar Shahryari, Mohammad Rings and Algebras Spectral Theory Primary 15A18, Secondary 15B33 We introduce a unified method for study of 2-dimensional invariant subspaces of matrices and their corresponding super-eigenvalues. As a novel application to non-commutative algebra, we present a connection between the eigenvalues of matrices with entries in the ring Mat_2(F) and 2-dimensional invariant subspaces of matrices with entries in the field F. |
| title | On 2-dimensional invariant subspaces of matrices |
| topic | Rings and Algebras Spectral Theory Primary 15A18, Secondary 15B33 |
| url | https://arxiv.org/abs/2601.18143 |