(a) Does the subset of all vectors with a₂ = 0 constitute a vector space? If so, what is its dimension; if not, why not? (b) What about the subset of all vectors whose z component is 1? (c) How about the subset of vectors whose components are all equal?
(a) Does the subset of all vectors with a₂ = 0 constitute a vector space? If so, what is its dimension; if not, why not? (b) What about the subset of all vectors whose z component is 1? (c) How about the subset of vectors whose components are all equal?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 40E
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