(a) If A is a 3 x 5 matrix, then the rank of A is at most ______. Why? (b) If A is a 3 x 5 matrix, then the nullity of A is at most ______. Why? (c) If A is a 3 x 5 matrix, then the rank ofA^T is at most ______. Why? (d) If A is a 3 x 5 matrix, then the nullity ofA^T is at most ______. Why?