Question: Problem 4. Let A E Mnm(K) Be A Matrix Of Rank 1. Prove That There Exist X E Kn And Y E Km Such That A = X · (77). Meaning A Is The

Problem 4. Let A Mn,m(k) be a matrix of rank 1. Prove that there exist x k" and y km such that A = x (y). Meaning A is the product of a column vector with a row vector.