paper

On 2-dimensional invariant subspaces of matrices

arXiv:2601.18143

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.

On 2-dimensional invariant subspaces of matrices · wovepaper