Consider V = {(2,y) : x, y ≤ R}. Let and ⋆ be operations on this set defined in the following way: (2*1,31) © (2”, Y2) (2x1+x², Y₁ + Y2 − 1) k⋆ (2ª, y) = (2kx, ky − k +1) for k € R. - Show that the set V equipped with operations and is a real vector space. =
Consider V = {(2,y) : x, y ≤ R}. Let and ⋆ be operations on this set defined in the following way: (2*1,31) © (2”, Y2) (2x1+x², Y₁ + Y2 − 1) k⋆ (2ª, y) = (2kx, ky − k +1) for k € R. - Show that the set V equipped with operations and is a real vector space. =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 68E
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