a. T:b. T:Show that following transformations are not linearR2 → RT(x, y) = (x + y)²R³ → R³T(x, y, z) = (x+z, y + z, 1)

Step 1:linearity properties:Additivity:T(u+v)=T(u)+T(v)Homogeneity:T(cu)=cT(u) Step 2:

Answered: a. T: b. T: Show that following…

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: b. T: Show that following transformations are not linear R2 → R T(x, y) = (x + y)² R³ → R³ T(x, y, z) = (x+z, y + z, 1)