Let R+ denote the set of positive real numbers. Define the operation of scalar
Chapter 3, Problem 12(choose chapter or problem)
Let R+ denote the set of positive real numbers. Define the operation of scalar multiplication, denoted , by x = x for each x R+ and for any real number . Define the operation of addition, denoted , by x y = x y for all x, y R+ Thus, for this system, the scalar product of 3 times 1 2 is given by 3 1 2 = 1 2 3 = 8 and the sum of 2 and 5 is given by 2 5 = 2 5 = 10 Is R+ a vector space with these operations? Prove your answer.
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