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Determine which of the following transformations are linear transformations. OA. 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) OC. The transformation T defined by T(x1, x2) = (2x1 – 3x2, x1 + 4, 5x2). D. The transformation T defined by T(x1, x2) = (4x1 - 2x2, 3|x2|). OE. The transformation T defined by T(x1, x2, x3) = (x1, x2, -x3)

Determine which of the following transformations are linear transformations. OA. 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) OC. The transformation T defined by T(x1, x2) = (2x1 – 3x2, x1 + 4, 5x2). D. The transformation T defined by T(x1, x2) = (4x1 - 2x2, 3|x2|). OE. The transformation T defined by T(x1, x2, x3) = (x1, x2, -x3)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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) = (2x1 – 3x2, x1 + 4, 5x2). D. The transformation T defined by T(x1, x2) = (4x1 – 2x2, 3|x2|). OE. The transformation T defined by T(x1, x2, x3) = (x1, xX2, –x3) O000C
Transcribed Image Text: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) = (2x1 – 3x2, x1 + 4, 5x2). D. The transformation T defined by T(x1, x2) = (4x1 – 2x2, 3|x2|). OE. The transformation T defined by T(x1, x2, x3) = (x1, xX2, –x3) O000C
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