Check whether or not the set V is vector space over R' with respect to the indicated operations. (x, y,)+(x,,y;)=(x, – x,,y,- Y;) k(x),y,) =(-kx,-ky,)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 38E: Determine whether the set R2 with the operations (x1,y1)+(x2,y2)=(x1x2,y1y2) and c(x1,y1)=(cx1,cy1)...
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Check whether or not the set V is vector space over R' with respect to the indicated operations.
(x, y1)+(x2,Y2)=(x – x,, y,- Y2)
k(x,y, )= (-kx,,-ky,)
Transcribed Image Text:Check whether or not the set V is vector space over R' with respect to the indicated operations. (x, y1)+(x2,Y2)=(x – x,, y,- Y2) k(x,y, )= (-kx,,-ky,)
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