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    Does the Vector Space Axiom Hold for V with Given Conditions?

    let V be the collection of the 2*3 matrices with a real entries such that V={[a11 a12 a13 : a21 a22 a23] | a11+a23 =1} determine whether the following vector space axioms holds (a) for all α ε V there exists (-α) such that α + (-α)=0(vector)
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