Determine which of the following transformations are linear transformations. A. The transformation T defined by T(x₁, x2, x3) = (1, X2, X3) B. The transformation C. The transformation ] D. The transformation T defined by T(x1, x₂) T defined by T(x1, x2, x3) T defined by T(x1, x2) E. The transformation T defined by T(x1, X2, X3) = = (2x₁ − 3x2, x₁ + 4, 5x2). (x1, 0, x3) (4x1 – 2x2, 3|x2|). (x1, x2, — X3) = =

Determine which of the following transformations are linear transformations. A. The transformation T defined by T(x₁, x2, x3) = (1, X2, X3) B. The transformation C. The transformation ] D. The transformation T defined by T(x1, x₂) T defined by T(x1, x2, x3) T defined by T(x1, x2) E. The transformation T defined by T(x1, X2, X3) = = (2x₁ − 3x2, x₁ + 4, 5x2). (x1, 0, x3) (4x1 – 2x2, 3|x2|). (x1, x2, — X3) = =

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 76E: A translation in R2 is a function of the form T(x,y)=(xh,yk), where at least one of the constants h...

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