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Exercise 3.F.4

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Proof. Let $u_{1}, \dots, u_{n}$ be a basis of $U$ . Extend it to a basis $u_{1}, \dots, u_{n}, v_{1}, \dots, v_{m}$ of $V$ and let $ω_{1}, \dots, ω_{n}, φ_{1}, \dots, φ_{m}$ be its dual basis. By definition, we have that $φ_{i} (u) = 0$ , for all $u \in U$ and all $i \in 1, \dots, m$ . □

celiopassos

2017-10-06 00:00

Exercise 3.F.4

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