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Let V be the set of all pairs (x, y) of real numbers and let F be the field of realnumbers. Define (x1, y1) + (x2, y2) = (x1, y1) and k (x1, y1) = (k x1, k y1)∀ (x1, y1), (x2, y2) ∈ V and k ∈ FExamine with these operations whether V is a vector space over the field of real number or not ? |
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