On 2-dimensional invariant subspaces of matrices
Rings and Algebras
2026-01-27 v1 Spectral Theory
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.
Cite
@article{arxiv.2601.18143,
title = {On 2-dimensional invariant subspaces of matrices},
author = {Omar Al-Raisi and Mohammad Shahryari},
journal= {arXiv preprint arXiv:2601.18143},
year = {2026}
}