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Mathematics, 20.02.2020 23:04 NNopeNNopeNNope

Let V := R 2 . Let + denote the usual (vector) addition on R 2 . Define a scalar multiplication ∗ by assigning α ∗ (x, y) = (αy, αx), for any α ∈ R and (x, y) ∈ R 2 . Then (V, ∗, +) is not a vector space.

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