Minimal Rank of Submatrices of Random Rectangular Matrices

Explore a 40-minute lecture on the minimal rank of submatrices in random rectangular matrices. Delve into the intriguing properties of n by N matrices with independent identically distributed random entries. Discover how the relationship between n and N affects the invertibility of square submatrices. Learn about the proof of Feige and Lellouche's conjecture regarding the minimal rank of these submatrices. Gain insights into advanced matrix theory and probability concepts through this in-depth mathematical exploration presented by Mark Rudelson at the Hausdorff Center for Mathematics.