Let W = {[x]∈ R2^ | y > or equal to 0} .             [y] (a) If u and v are vectors in W , is u + v in W ? Justify your answer. (b) Find a specific vector u in W and a specific real scalar c such that cu is not in W

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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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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Let W = {[x]∈ R2^ | y > or equal to 0}
.             [y]
(a) If u and v are vectors in W , is u + v in W ? Justify your answer.
(b) Find a specific vector u in W and a specific real scalar c such that cu is not in W

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