English

A matrix equation $X^n = aI$

Rings and Algebras 2014-12-31 v1

Abstract

In this paper, we study a matrix equation Xn=aIX^n = aI. We factorize XnaIX^n - aI based upon the factorization of xnax^n - a and then give a necessary and sufficient condition for one of the factors to be the zero matrix.

Cite

@article{arxiv.1412.8571,
  title  = {A matrix equation $X^n = aI$},
  author = {Taehyeok Heo and Jihoon Choi and Suh-Ryung Kim},
  journal= {arXiv preprint arXiv:1412.8571},
  year   = {2014}
}

Comments

9 pages

R2 v1 2026-06-22T07:46:44.165Z