Determine if the subset of R3 consisting of vectors of the form [abc], where at most one of a, b, and c is nonzero, is a subspace.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Determine if the subset of R3 consisting of vectors of the form [abc], where at most one of a, b, and c is nonzero, is a subspace.

 

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       So the  set is not closed under vector addition but is it closed under scalar multiplications and does the set contains the zero vector

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