Answered: 4: Let T : R? → R? be the…

4: Let T : R? → R? be the transformation mapping defined by T(u, v) = (u + 1, v + 2) for all (u, v) e R?. Then show that T is not a linear transformation.

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 1CM

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Question

4: Let T : R? → R? be the transformation
mapping defined by
T(u, v) = (u + 1, v + 2)
for all (u, v) e R?.
Then show that T is not a linear transformation.

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