.Let A and B be vector subspaces of a vector space V .The intersection of A and B,A ∩ B,is the
.Let A and B be vector subspaces of a vector space V .
The intersection of A and B,A ∩ B,is the set {x ∈ V | x ∈ A and x ∈ B}.
The union of A and B,A ∪ B,is the set {x ∈ V | x ∈ A or x ∈ B}.
a) Determine whether or not A ∩ B is a vector subspace of V .Prove your answer.
b) Determine whether or not A ∪ B is a vector subspace of V .Prove your answer.