1 Let q: X→ S¹ be a continuous map where X is simply connected and let i: S¹ S¹ be the identitymap. Prove that there does not exist a continuous map :S¹→X such that qoi = i.

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Answered: -> Let q: XS¹ be a continuous map where…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.3: Matrices For Linear Transformations

Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.

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-> Let q: XS¹ be a continuous map where X is simply connected and let i: S¹ S¹ be the identity map. Prove that there does not exist a continuous map 7:S¹X such that qoi-i.