Question: 5. Let K = {x E R : Ax 2 0} be a pointed polyhedral cone. Show that a nonzero vector T E K is

5. Let K = {x E R" : Ax 2 0} be a pointed polyhedral cone. Show that a nonzero vector T E K is an extreme ray if and only if x is a basic feasible ray. Clarification: Recall that x E K is an extreme ray iff = Alx1 + 12x2, with x1, 22 ( K, 1, 12 > 0 X1, x2 proportional to x and x is a basic feasible ray iff n - 1 linearly independent constraints are active at x

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