English

The $2\times2$ Matrix Mortality Problem and Invertible Matrices

Rings and Algebras 2019-12-23 v1

Abstract

By modifying the proof of a paper by O. Bournez and M. Branicky, we establish that the Matrix Mortality Problem is decidable with any finite set of 2×22\times2 matrices which has at most one invertible matrix. The same modification also shows that the number of non-invertible matrices is irrelevant.

Keywords

Cite

@article{arxiv.1912.09991,
  title  = {The $2\times2$ Matrix Mortality Problem and Invertible Matrices},
  author = {Christopher Carl Heckman},
  journal= {arXiv preprint arXiv:1912.09991},
  year   = {2019}
}

Comments

5 pages

R2 v1 2026-06-23T12:52:48.864Z