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arXiv · 2601.18143

On 2-dimensional invariant subspaces of matrices

Omar Al-Raisi·Mohammad Shahryari
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Abstract

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.

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Omar Al-Raisi, Mohammad Shahryari. 2026-01-26. On 2-dimensional invariant subspaces of matrices. https://arxiv.org/abs/2601.18143

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