Factorization of Supertropical Matrices

Details Factorization of Supertropical Matrices Factorization of Supertropical Matrices

2012-02-16

arxiv.org/abs/1202.3615v2

Mathematics

Commutative Algebra

This paper is part of the author's PhD thesis, which was written at Bar-Ilan University under the supervision of Prof. L. H. R

Scientific paper

In contrast to the situation in classical linear algebra, we establish that
not every nonsingular matrix can be factored into a product of elementary
matrices. We prove the factorizability of any nonsingular $2\times 2$ matrix
and classify the factorizability of $3\times 3$ matrices. Nevertheless, the
quasi-inverse of the quasi-inverse is always factorizable.

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