Question: Let V be a finite-dimensional vector space with basis B = {v1, ...Un}. Moreover, let V* denote the dual space consisting of linear functionals on

Let V be a finite-dimensional vector space with basis B = {v1, ...Un}. Moreover, let V* denote the dual space consisting of linear functionals on V, and define functionals fi E V* by fi(vi) = bij for i, j = 1, ...n (a) Prove that the f; form a basis B* for V* (b) If V = R3, , compute B*

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