Prove that the transformation below is LINEAR. T:R² – → R3 R³ T(x,y) = (x + y, 3y, 2x – y)
Prove that the transformation below is LINEAR. T:R² – → R3 R³ T(x,y) = (x + y, 3y, 2x – y)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
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![Prove that the transformation below is LINEAR.
T: R² → R³
T(x,y) = (x + y,3y, 2x – y)
O O O GOOD LUCK](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a17b0f1-ad98-4865-9182-1b89e4f710fe%2F9f4d151a-0d4c-4677-955d-22196966df9e%2Fmnwas2h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Prove that the transformation below is LINEAR.
T: R² → R³
T(x,y) = (x + y,3y, 2x – y)
O O O GOOD LUCK
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