Answer Happy

Please, I need correct proof to the below question.
Thanks
Problem 4 [20] Let A = [aij] € Mn and let n R = laijl (i = 1, 2, ..., n). j=1,ji Prove that if ajil > R for i = 1,2,...n - 1, then either A is nonsingular or the Jordan canonical form of A has exactly one Jordan block corresponding to the eigenvalue 0.