and addition () by Let R+ be the set of positive real numbers. Define scalar multiplication...

 

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and addition () by Let R+ be the set of positive real numbers. Define scalar multiplication (o) for all rR+, aR xy=xy, for all x, y R+ ) For example, the scalar product of -4 times is -40 = () = 16, and the addition of 3 and 7 is 37 3.7=21. 1. (5pts) Considering the operations o and B, is R+ a vector space? 2. (10pts) Justify your answer (briefly explain why the axioms A1 to A8 hold or fail) and addition () by Let R+ be the set of positive real numbers. Define scalar multiplication (o) for all rR+, aR xy=xy, for all x, y R+ ) For example, the scalar product of -4 times is -40 = () = 16, and the addition of 3 and 7 is 37 3.7=21. 1. (5pts) Considering the operations o and B, is R+ a vector space? 2. (10pts) Justify your answer (briefly explain why the axioms A1 to A8 hold or fail)