e) (5 pts.) Consider a basic feasible solution to a linear program. Describe (mathematically) all descent directions and all feasible descent directions from this point (Hint: the null space of a matrix might be useful). Does the simplex method always move in a descent direction? e) (5 pts.) Consider a basic feasible solution to a linear program. Describe (mathematically) all descent directions and all feasible descent directions from this point (Hint: the null space of a matrix might be useful). Does the simplex method always move in a descent direction