4. If V and W are sets, then their union VUW is the set consisting of all elements that are in V or W (or in both V and W). The intersection of V and W is the set VOW consisting of all elements that...

Extracted text: 4. If V and W are sets, then their union VUW is the set consisting of all elements that are in V or W (or in both V and W). The intersection of V and W is the set VOW consisting of all elements that are in both V and W. Let V and W be two subspaces of R". a) Show that the intersection of V and W is also a subspace of R". b) Is the same true for union of two subspaces of R"? If yes, prove it. Otherwise provide a counterexample.