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Tight Asymptotic of Probability of singularity of n x n Random Matrix with Uniform Distributed \pm 1 Entries

Vladimir Blinovsky

Abstract

We prove the conjecture about the probability that Pn of Bernulli +- 1 square matrix to be singular and asymptotic expansion of Pn.

Tight Asymptotic of Probability of singularity of n x n Random Matrix with Uniform Distributed \pm 1 Entries

Abstract

We prove the conjecture about the probability that Pn of Bernulli +- 1 square matrix to be singular and asymptotic expansion of Pn.

Paper Structure

This paper contains 2 theorems, 37 equations.

Key Result

Theorem 1

Asymptotic (e1) for $P_n$ is true.

Theorems & Definitions (4)

  • Conjecture 1
  • Theorem 1
  • Conjecture 2
  • Theorem 2