Why is V3 not a vector space? Explain. V3 = {(x, y)|x, y R} Addition: (x1,

Why is V3 not a vector space? Explain.

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V3 = {(x, y)|x, y ≤ R} Addition: (x1, y₁) + (x2, Y2) = (x1 + x2 + Y₁ + Y2, x1 + x2 + y₁ + y2); (x1, y₁), (x2, y2) € V3 Scalar multiplication: c(x, y) = (cx, cy); (x, y) = V3, CER V3 = {(x, y)|x, y ≤ R} Addition: (x1, y₁) + (x2, Y2) = (x1 + x2 + Y₁ + Y2, x1 + x2 + y₁ + y2); (x1, y₁), (x2, y2) € V3 Scalar multiplication: c(x, y) = (cx, cy); (x, y) = V3, CER

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There are a few reasons why V3 may not be a vector space Firstly the given definition of ... View the full answer