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The Mortality of a Pair of 2x2 Matrices is Decidable

Yannick Saouter 1
1 API - Parallel VLSI Architectures
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, INRIA Rennes
Abstract : A pair of matrices is said to be mortal if there is a serie of these matrices for which the product is the null matrix. A recent result have established that the general problem of the mortality of a pair of integral matrices is undecidable. In this article, we prove by using only linear algebra that the mortality of a pair of 2x2 integral matrices is decidable.
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Submitted on : Wednesday, May 24, 2006 - 1:54:14 PM
Last modification on : Friday, February 4, 2022 - 3:09:53 AM
Long-term archiving on: : Monday, April 5, 2010 - 12:00:00 AM


  • HAL Id : inria-00073848, version 1


Yannick Saouter. The Mortality of a Pair of 2x2 Matrices is Decidable. [Research Report] RR-2842, INRIA. 1996. ⟨inria-00073848⟩



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