Q1Consider the transformation H: R4 →→ R³ defined byH(a, b, c, d) = (3b-c, 3a+c+2d, d-c-2a-8). Determine whether H is a linear transformation ornot. Justify your answer.

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Answered: Consider the transformation H: R4 → R³…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.1: Introduction To Linear Transformations

Problem 39E: For the linear transformation from Exercise 33, find a T(1,1), b the preimage of (1,1), and c the...

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Consider the transformation H: R4 → R³ defined by H(a, b, c, d) = (3b-c, 3a+c+ 2d, d-c-2a-8). Determine whether H is a linear transformation or not. Justify your answer.