Prove that the set W= { < 3a+b,4,a-5b> | a,b are real numbers } is not a vector subspace of R3.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 43E: Prove that in a given vector space V, the zero vector is unique.
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Prove that the set W= { < 3a+b,4,a-5b> | a,b are real numbers } is not a vector subspace of R3

 

 

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