Question: Why is V3 not a vector space? Explain. V3 = {(x, y)|x, y R} Addition: (x1, y) + (x2, Y2) = (x1 + x2 +

Why is V3 not a vector space? Explain.

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

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