plz provide handwritten answer for question 4 part d asap for getting upvote (d)For each of the following subsets of R2, either show that it is a 202012910 Subspace of R², or explain why it is not a subspace of R².(i)051 201291052051 2012910510512012910520102012= {(0,0), (1, 1), 01291051261291051201291051201291051 20129241291051051 2012910(iii)201201051012:201291051ER}U {(y. 2y) y ER}.1291051201291051 201291051,01291051 201291051 20129105)201291051201291051 201201051201291051 201291051201291051 20129105120129105151201291051012 T = {(x,x) (051-129105120129305 U = R²

We solve this problem using the definition of a subspace. The detailed typeset solution in latex is…

(d) subspace of R2, or explain why it is not a subspace of R². (i) 1291051 (iis 291051 2012 For each of the following subsets of R2, either show that it is a 2012 = {(0,0), (1, 1)).01291051, 201291051 : I 01291051 201291051 129105 {(x,x): 1ER}U VER}. 20129103 {(y" "ER}. 201291051 201291051 201291051 20129105 791051 779105 U= R². 20129105 201291051 101291051 20129105 20129105 201291051 791051 791051

(d) subspace of R2, or explain why it is not a subspace of R². (i) 1291051 (iis 291051 2012 For each of the following subsets of R2, either show that it is a 2012 = {(0,0), (1, 1)).01291051, 201291051 : I 01291051 201291051 129105 {(x,x): 1ER}U VER}. 20129103 {(y" "ER}. 201291051 201291051 201291051 20129105 791051 779105 U= R². 20129105 201291051 101291051 20129105 20129105 201291051 791051 791051

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 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}

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