Abstract
For each $n$, let $M_n$ be an $n\times n$ random matrix with independent $\pm 1$ entries. We show that $\mathbb{P}\{M_n \mathrm{is\ singular}\} = (1/2 + o_n(1))^n$, which settles an old problem. Some generalizations are considered.
Citation
Konstantin Tikhomirov. "Singularity of random Bernoulli matrices." Ann. of Math. (2) 191 (2) 593 - 634, March 2020. https://doi.org/10.4007/annals.2020.191.2.6
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