10. Show that V = R² with the standard scalar multiplication, but addition defined by (7, , v.) + (x, , v.) = ( V+ =, v? + v? ) is a vector space.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 5CM: Take this test to review the material in Chapters 4 and 5. After you are finished, check your work...
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10.
Show that V = R² with the standard scalar multiplication, but addition defined by
(*, , 4,) + (x, , y2) = V + x}, Vv? + v?)
3 r3
is a vector space.
Transcribed Image Text:10. Show that V = R² with the standard scalar multiplication, but addition defined by (*, , 4,) + (x, , y2) = V + x}, Vv? + v?) 3 r3 is a vector space.
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