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17-10-2022
Mathematics

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Let V = R 2 and define addition and scalar multiplication as follows: u + v = (u1, u2) + (v1, v2) = (u1 + v1, 0) ku = k (u1, u2) = (ku1, 0) Which of the following vector space axioms does not hold? (a) k(u + v) = ku + kv (b) 1u = u (c) Closure under scalar multiplication (d) (k + m)u = ku + mu (e) None of the above

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