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4. Let V be the set of all ordered pairs of real numbers, and consider the following addition and scalar multiplication operations on u =
4. Let V be the set of all ordered pairs of real numbers, and consider the following addition and scalar multiplication operations on u = (u1, u2 ) and v = (v1, V2): utv=(utv -10, 2uz + V2 + 5), ku = (ku1, kuz) Show whether V is a vector space or not. (Hint: Try Axiom's 7 or 8)
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