Linear Algebra
Question 1. Let \(S\) and \(T\) be subsets of a vector space \(V\). Under what conditions the equality
\[\operatorname{span}(S\cap T) = \operatorname{span}(S) \cap \operatorname{span}(T)\]holds?
Question 1. Let \(S\) and \(T\) be subsets of a vector space \(V\). Under what conditions the equality
\[\operatorname{span}(S\cap T) = \operatorname{span}(S) \cap \operatorname{span}(T)\]holds?