Hi, I need help with this:
Let P be a non-empty polytope.
I) Prove that P has vertices.
II)Let be the vectrices of P. Show that
for the first one I see why P has vertices, if P is bounded and then if , x is also bounded so A must be full colon rank. But this is just an idea and I'm not even sure it's correct.
if you can just give me a hit for II) it would be great.
Thanks in advance!