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Reports (Research Report) Year : 1996

The Mortality of a Pair of 2x2 Matrices is Decidable

Yannick Saouter

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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Other [cs.OH]
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Dates and versions

inria-00073848 , version 1 (24-05-2006)

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  • HAL Id : inria-00073848 , version 1

Cite

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