On the singularity of random combinatorial matrices

Abstract

It is shown that a random $(0,1)$ matrix whose rows are independent random vectors of exactly $n/2$ zero components is non-singular with probability $1-O(n^{-C})$ for any $C>0$. The proof uses a non-standard inverse-type Littlewood-Offord result.

16 pages

References in corpus (1)

• Invertibility of symmetric random matrices