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(Steps Shown) Let V= xin R: x>0 =R_+. For x,yin V and λ ∈ R , define xoplus y=xy, λ \otimes x=x^lambda Prove that (V,\oplus ,\otimes ,R)

Question: Let \(V=\left\{ x\in \mathbb{R}:\,\,x>0 \right\}={{\mathbb{R}}_{+}}\). For \(x,y\in V\) and \(\lambda \in \mathbb{R}\) , define

\(x\oplus y=xy,\,\,\,\lambda \otimes x={{x}^{\lambda }}\)

Prove that \(\left( V,\oplus ,\otimes ,\mathbb{R} \right)\) is a vector space.

Price: $2.99
Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document


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