Answered: Which of the following mappings on E2…

Which of the following mappings on E2 is not a transformation? Choose the correct answer I. (x,y)↦(2x,2y) II. (x,y)↦(x,0) III. (x,y)↦(-y,x) IV. (x,y)↦(x,y)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 15CM

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Question

Which of the following mappings on E2 is not a transformation?

Choose the correct answer

I. (x,y)↦(2x,2y)

II. (x,y)↦(x,0)

III. (x,y)↦(-y,x)

IV. (x,y)↦(x,y)

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