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 T defined by T(x1, x2, x3) = (x1, 0, 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). -

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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 T defined by T(x1, x2, x3) = (x1,0, 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).
Transcribed Image Text: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 T defined by T(x1, x2, x3) = (x1,0, 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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