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  3. let v be a vector space of dimension 1 over a fiel

Let V be a vector space of dimension 1 over a field k and choose a...

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Advance Math

Let V be a vector space of dimension 1 over a field k and choosea fixed nonzero element voe V, which is therefore a basis. Let W beany vector space over k and let woe W be an arbitrary vector. Showthat there is a unique linear transformation T: V ? W such thatT(v)= wo. [Hint: What must T(Avo) be?)

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