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arXiv · 0711.2696

On the Rank of Random Sparse Matrices

Kevin P. Costello·Van Vu
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Abstract

We investigate the rank of random (symmetric) sparse matrices. Our main finding is that with high probability, any dependency that occurs in such a matrix is formed by a set of few rows that contains an overwhelming number of zeros. This allows us to obtain an exact estimate for the co-rank.

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Kevin P. Costello, Van Vu. 2007-11-16. On the Rank of Random Sparse Matrices. https://arxiv.org/abs/0711.2696

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