My question is verifying how V5 is a subspace of R^5 Consider the subspace V5 of R° spanned by vectors { (2,0,1,1,0) & (7,–6,–1,-1,-1) & (-5,4,0,1,0) }.Show that the subspace W5 of R spanned by vectors { (1,2,1,–3,–3) & (2,5,6,–10,–12) } isorthogonal to V5. That is, every vector of subspace W5 is orthogonal to each vector in subspace V5.Verify that V5 is a subspace of RS

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Verify that V5 is a subspace of RS

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.6: Rank Of A Matrix And Systems Of Linear Equations

Problem 67E: Let A be an mn matrix where mn whose rank is r. a What is the largest value r can be? b How many...

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Question

My question is verifying how V5 is a subspace of R^5

Consider the subspace V5 of R° spanned by vectors { (2,0,1,1,0) & (7,–6,–1,-1,-1) & (-5,4,0,1,0) }.
Show that the subspace W5 of R spanned by vectors { (1,2,1,–3,–3) & (2,5,6,–10,–12) } is
orthogonal to V5. That is, every vector of subspace W5 is orthogonal to each vector in subspace V5.
Verify that V5 is a subspace of RS

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