On the Singular Probability of Random Discrete Matrices

On the Singular Probability of Random Discrete Matrices

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Philip Matchett Wood, Rutgers University
Fine Hall 224

Let $n$ be a large integer and $M_n$ be an $n$ by $n$ random matrix whose entries are independent (but not necessarily identically distributed) random variables. The main goal of this paper is to prove a general upper bound for the probability that $M_{n}$ is singular.For a constant $0