Coja-Oghlan, AminGao, PuHahn-Klimroth, MaxLee, JoonMüller, NoelaRolvien, Maurice2025-09-152025-09-152024-09-20http://hdl.handle.net/2003/43969We derive a sufficient condition for a sparse random matrix with given numbers of non-zero entries in the rows and columns having full row rank. The result covers both matrices over finite fields with independent non-zero entries and {0,1}-matrices over the rationals. The sufficient condition is generally necessary as well.enCombinatorics, probability & computing; 33(5)https://creativecommons.org/licenses/by/4.0/Random matrixRank004Article