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  3. let r x r1 x gt 0 denote the positive...

Question: let r x r1 x gt 0 denote the positive...

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Let R+ (x R1 x > 0} denote the positive real numbers, with vector addition φ and scalar multiplication O defined for all u, v R+, and c e R as (The notation of means is defined as.) Prove that R+ is a vector space over R under these rather strange operations of vector addition and scalar multiplication. In particular, you must identify the additive identity in R+ and the additive inverse of any vector in Rt. Check all ten axioms. (See Example 1.26 in the text.)

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