Question: Let h. V R be a homomorphism, but not the zero homomorphism. Prove that if (1, . . . , n) is a basis

Let h. V → R be a homomorphism, but not the zero homomorphism. Prove that if (1, . . . , n) is a basis for the null space and if ∈ V is not in the null space then (,1, . . . , n) is a basis for the entire domain V.

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