Let {f1, f2, f3} be the dual basis of {e1, €2, €3} for R³, where e₁ = (1, 1, 1), €₂=(1,1,−1), Find f₁(x), f₂(x), f3(x), where x = (1, 0, 0). €3=(1,−1,−1).

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A: ANSWER:

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