Answered: (b) Prove that the mapping T:R2 → R³…

(b) Prove that the mapping T:R2 → R³ from R² into R³, defined by T(x, y) = (x + 1,2y, x + y) is not a Linear Transformation.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

(b)
Prove that the mapping T: R2 → R³ from R² into R³, defined by T(x,y) = (x + 1,2y,
x + y)
is not a Linear Transformation.

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