Define (d) Apply the projected Hessian test. 6. Show that zT x = 0 for all x satisfying Ax = 0 if...

Define

(d) Apply the projected
Hessian test. 6. Show that zT x = 0 for all x satisfying Ax = 0 if and only if
z = AT w for some w. (Hint: Use the Duality Theorem of Linear Programming.)