Testing for a Vector Space In Exercises 13-36,determine whether the set, together with the standardoperations, is a vector space. If it is not, identify at leastone of the ten vector space axioms that fails.21. The set{(x, y): x2 0, y is a real number)

Additive inverse does not exist.

Answered: Testing for a Vector Space In Exercises…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.2: Vector Spaces

Problem 13E: Testing for a Vector Space In Exercises 13-36, determine whether the set, together with the standard...

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Testing for a Vector Space In Exercises 13-36, determine whether the set, together with the standard operations, is a vector space. If it is not, identify at least one of the ten vector space axioms that fails. 21. The set {(x, y): x2 0, y is a real number)