Q/prove that if d (u,v) >2 then there isa vertex z in G st. d (u,v) = d(u,z)+d(z₁v)

We need to prove that if the distance between two vertices u and v in a graph G is at least 2, then…

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Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 4CM: Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4,...

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Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4, u5 and u6. Then verify your solution. v=(10,30,13,14,7,27) u1=(1,2,3,4,1,2) u2=(1,2,1,1,2,1) u3=(0,2,1,2,1,1) u4=(1,0,3,4,1,2) u5=(1,2,1,1,2,3) u6=(3,2,1,2,3,0)
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Q/prove that if d (u,v) >2 then there is a vertex z in G st. d (u,v) = d(u, z)+d(z₁v)