If A is m times n matrix then the eigen values of AT A can n
     If A is m times n matrix, then the eigen values of A^T A can not be negative.  The following L.P.P has an unbounded feasible region.  min z = x - y  subject to 4x - 3y greaterthanorequalto 0  x + y lessthanorequalto 10  x greaterthanorequalto 0, y greaterthanorequalto 0.  No L.P.P with an unbounded feasible region has a solution. 
  
  Solution
d. True
e. True
f. False, minimization problem with unbounded feasible region can also have a solution

