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a. T: Show that following transformations are not linear. R3 → R³ T(x, y, z) = (x + y, 2, z − y) R² → R b. T: T(x, y) = x²y

a. T: Show that following transformations are not linear. R3 → R³ T(x, y, z) = (x + y, 2, z − y) R² → R b. T: T(x, y) = x²y

Elementary Linear Algebra (MindTap Course List)
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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a. T: Show that following transformations are not linear. R3 → R³ T(x, y, z) = (x + y, 2, z − y) R² → R b. T: T(x, y) = x²y
Transcribed Image Text:a. T: Show that following transformations are not linear. R3 → R³ T(x, y, z) = (x + y, 2, z − y) R² → R b. T: T(x, y) = x²y
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