## Do These Cholesky Roots Make My Matrix Look Fat?

- March 2, 2018
- 2:30 p.m.
- LeConte 312

## Abstract

In the wonderful world of binary matrices over GF(2) it is known that full-rank matrices have at most one Cholesky factorization. In this talk we enumerate the number of Cholesky factorizations of less-than-full-rank matrices over GF(2) by showing an interesting bijection between them and a certain subgroup of matrices over GF(2) - no spoilers given... We conclude the presentation by allowing the audience to choose a better title for future presentations. Joint work with Joshua Cooper XL.