4) A non-empty set V is be vector space then...
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Answer:A vector space is a non-empty set V , whose elements are called vectors, on which there are defined two operations: 1. addition, which to any two vectors v, w assigns a vector v + w, called the sum of v and w; ... there is a vector 0 ∈ V such that 0 + v = v for every vector v.
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