Determine if each of the following sets with the indicated operations of addition and scalar multiplication are a vector space. If so, verify the axioms, and if not, indicate at least one axiom that fails. i) Let V be the set of all positive real numbers. Define the operations of addition and scalar multiplication Ⓒ by x + y = xy and x©y=x² where the operations on the right side of each equation is usual real number multiplication and exponen- tial, respectively. ii) Let V denote the vectors in R2 with the usual vector addition, but scalar multiplication is instead defined as I -- C = CI

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