Let W be the set of all vectorsC1€2ន€3CAsuch that #1 - 2x2 = 4x3 and 2x1 = 3 + 3x4.Determine if W is a vector space and check the correct answer(s) below.OA. W is a vector space because it can be written as N(A) for some matrix A.OB. W is not a vector space because it does not have a zero element.Oc. W is not a vector space because it is not closed w.r.t scalar multiplicationOD. W is a vector space because it is in R¹.DE. W is a vector space because it has a zero element.OF. W is not a vector space because it does not have additive closure.

Given that W has vectors of form We have to check that W form a vector space or not…

Let W be the set of all vectors C2 C3 CA such that 1-2x2 = 423 and 2x1 = 3 + 3x4 Determine if W is a vector space and check the correct answer(s) below. A. W is a vector space because it can be written as N(A) for some matrix A. B. W is not a vector space because it does not have a zero element.

Let W be the set of all vectors C2 C3 CA such that 1-2x2 = 423 and 2x1 = 3 + 3x4 Determine if W is a vector space and check the correct answer(s) below. A. W is a vector space because it can be written as N(A) for some matrix A. B. W is not a vector space because it does not have a zero element.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 46E

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Question

Let W be the set of all vectors
C1
€2
ន
€3
CA
such that #1 - 2x2 = 4x3 and 2x1 = 3 + 3x4.
Determine if W is a vector space and check the correct answer(s) below.
OA. W is a vector space because it can be written as N(A) for some matrix A.
OB. W is not a vector space because it does not have a zero element.
Oc. W is not a vector space because it is not closed w.r.t scalar multiplication
OD. W is a vector space because it is in R¹.
DE. W is a vector space because it has a zero element.
OF. W is not a vector space because it does not have additive closure.

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