|A. The transformation T defined by T(x1, x2, X3) = (x1, 0, x3) B. The transformation T defined by T(x1, x2, x3) = (1, x2, x3) C. The transformation T defined by T(x1, x2, x3) = (x1, x2, -x3) D. The transformation T defined by T(x1, x2) = (4x1 – 2x2, 3|x2|). E. The transformation T defined by T(x1, X2) = (2x1 – 3x2, x1 + 4, 5x2). - OO0 O 0

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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Determine which of the following transformations are linear transformations.

|A. The transformation T defined by T(x1, x2, X3) = (x1, 0, x3)
B. The transformation T defined by T(x1, x2, x3) = (1, x2, x3)
C. The transformation T defined by T(x1, x2, x3) = (x1, x2, -x3)
D. The transformation T defined by T(x1, x2) = (4x1 – 2x2, 3|x2|).
E. The transformation T defined by T(x1, x2) = (2x1 – 3x2, x1 + 4, 5x2).
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Transcribed Image Text:|A. The transformation T defined by T(x1, x2, X3) = (x1, 0, x3) B. The transformation T defined by T(x1, x2, x3) = (1, x2, x3) C. The transformation T defined by T(x1, x2, x3) = (x1, x2, -x3) D. The transformation T defined by T(x1, x2) = (4x1 – 2x2, 3|x2|). E. The transformation T defined by T(x1, x2) = (2x1 – 3x2, x1 + 4, 5x2). - O O
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