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Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 37E: Let V be the set of all positive real numbers. Determine whether V is a vector space with the...
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Let W be the set of all vectors
such that - 2 = 4zs and 22- ay+3z
Determine if W is a vector space and check the correct answer(s) below.
OA. W is not a vector space because it does not have a zero element.
OB. W is not a vector space because it is not closed w.r.t scalar multiplication
OC. W is a vector space because it can be written as N(A) for some matrix A.
OD. W is a vector space because it has a zero element.
DE. W is not a vector space because it does not have additive closure.
F. W is a vector space because it is in R.
Transcribed Image Text:Let W be the set of all vectors such that - 2 = 4zs and 22- ay+3z Determine if W is a vector space and check the correct answer(s) below. OA. W is not a vector space because it does not have a zero element. OB. W is not a vector space because it is not closed w.r.t scalar multiplication OC. W is a vector space because it can be written as N(A) for some matrix A. OD. W is a vector space because it has a zero element. DE. W is not a vector space because it does not have additive closure. F. W is a vector space because it is in R.
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