Matrix mortality problem

id: matrix-mortality-problem-258-16574172
title: Matrix mortality problem
text: In computer science, the matrix mortality problem is a decision problem that asks, given a finite set of n×n matrices with integer coefficients, whether the zero matrix can be expressed as a finite product of matrices from this set. The matrix mortality problem is known to be undecidable when n ≥ 3. In fact, it is already undecidable for sets of 6 matrices when n = 3, for 4 matrices when n = 5, for 3 matrices when n = 9, and for 2 matrices when n = 15. In the case n = 2, it is an open problem wh
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Matrix_mortality_problem
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date modified: 2024-04-25T23:46:00Z
main entity: {"identifier":"Q125590969","url":"https://www.wikidata.org/entity/Q125590969"}
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