Help ,why is this not a vector space!!?
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Help ,why is this not a vector space!!? Let S={ (a1,b1) ; a1,a2 are real numbers] For (a1,a2), (b1,b2) belong to S and C is a real number. Define (a1, a2) + (b1,b2)=(a1+b1, a2-b2) and c(a1, a1)=(ca1, ca2). is this a vector space? the book says its not, im having trouble understanding this.
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Answer:
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