Let . Let .
a) Prove that C is a cone and interpretate C geometrically (C is a cone if ).
b) Suposse S is a close set. ¿Is C necessarely close? If not, ¿what are the conditions for him to be close?
Thank you for every aportation.
Follow Math Help Forum on Facebook and Google+
Well to prove that C is a cone, you must have your set containing the vectors for every . If so, then if u take any positive scalar , then is also in the set and hence your set is a cone by the definition of a cone.
View Tag Cloud