Let V be a vector space over field F.Let V* be dual of V.If {f1,f2,...fk}subset of V* and {v1,v2,...vk}subset of V such that fi(vj)= 1 ,if i=j and 0 ,if i not equals j ..then prove that {f1,...fk} is linearly independent in V* and {v1,...vk} is linearly independent in V..
i can show that {f1,...fk} is Linearly independent..i need help as to how to show {v1,...vk}are linearly independent in V..
Thank you in advance