Answer
This set doesn't have a vector space structure.
Work Step by Step
A vector space needs to have the zero vector. Since $0$ is not greater than $0$, $0$ is not in the set. Thus, the set does not have a vector space structure..
Linear Algebra: A Modern Introduction
by Poole, David
Published by
Cengage Learning
ISBN 10:
1285463242
ISBN 13:
978-1-28546-324-7
Chapter 6 - Vector Spaces - 6.1 Vector Spaces and Subspaces - Exercises for 6.1 - Page 441: 4
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
