2. Let S be a set in R3. Determine which of the following sets is a subspace of R3.(a) S %3D {(и, и2, из), и, %—D изиз}(b) S 3 {(и,,иг, из), и, — из — 0}(с) S %3D {(и,, иz, из), и, — из — 2}(d) S = {(u1, U2, Uz), Uz = U1–Uz}(е) S %3D ((и, и, из), из 3D 1—и -и}

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Answered: 2. Let S be a set in R3. Determine…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 54CR: Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector...

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In Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. V=3, W={[aba]}
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2. Let S be a set in R3. Determine which of the following sets is a subspace of R3. (а) S %3D {(и, из, из), и, — изиз} (b) S = {(u1,Uz, U3), U̟ = Uz = 0} (c) S = {(u1, U2, U3), U1 = Uz = 2} (d) S = {(u1,u2, Uz), Uz = U1-Uz} %3D (е) S %3 (и, из, из), из %3D 1— и -и}