question archive Let α1, α2,?, αn be fixed real numbers

Let α1, α2,?, αn be fixed real numbers

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Let α1, α2,?, αn be fixed real numbers. Let ? ? Rn → R be given by ?(v?) = α1x1 + α2x2 + ? + αnxn, where v? = (x1, x2,?, xn). Then ? is a linear functional.

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