Suppose A is an m-by-n matrix with A 0. Prove that the rank of Ais 1 if and only if
Chapter 3, Problem 11(choose chapter or problem)
Suppose A is an m-by-n matrix with A 0. Prove that the rank of Ais 1 if and only if there exist .c1;:::;cm/ 2 Fm and .d1;:::;dn/ 2 Fnsuch that Aj;k D cj dk for every j D 1; : : : ; m and every k D 1; : : : ; n.
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