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Determine whether the set with the definition of addition of vectors and scalar multiplication is a...

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Advance Math

Determine whether the set with the definition of addition ofvectors and scalar multiplication is a vector space. If it is,demonstrate algebraically that it satisfies the 8 vector axioms. Ifit's not, identify and show algebraically every axioms which isviolated. Assume the usual addition and scalar multiplication ifit's not identified. V = R^2 , < X1 , X2 > + < Y1 , Y2> = < X1 + Y1 , 0> c< X1 , X2 > = < cX1 , cX2>

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