Exercise 1. The set V = R² defined as (×₁,×2) + (y1 + y2) = (x₁ + 2y₁, x2 + y2₂) with the standard vector addition and scalar multiplication is not a vector space.

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05-11-2022
Mathematics

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Exercise 1. The set V = R² defined as (×₁,×2) + (y1 + y2) = (x₁ + 2y₁, x2 + y2₂) with the standard vector addition and scalar multiplication is not a vector space.

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