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Determine which of the following transformations are linear transformations. | A. The transformation T defined by T(x1, x2) = (2x1 – 3x2, x1 + 4, 5x2). OB. The transformation T defined by T(x1, x2, x3) = (1, x2, x3) | C. The transformation T defined by T(x1, 82, x3) = (x1,0, x3) OD. The transformation T defined by T(x1, x2) = (4x1 – 2x2, 3|x2|). O E. The transformation T defined by T(x1, x2, x3) = (x1, x2, –x3)

Determine which of the following transformations are linear transformations. | A. The transformation T defined by T(x1, x2) = (2x1 – 3x2, x1 + 4, 5x2). OB. The transformation T defined by T(x1, x2, x3) = (1, x2, x3) | C. The transformation T defined by T(x1, 82, x3) = (x1,0, x3) OD. The transformation T defined by T(x1, x2) = (4x1 – 2x2, 3|x2|). O E. 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) = (2x1 – 3x2, x1+4,5x2). O B. The transformation T defined by T(x1, x2, x3) = (1, x2, x3) O C. The transformation T defined by T(x1, x2, x3) = (x1,0, x3) D. The transformation T defined by T(x1, x2) = (4x1 – 2x2, 3|x2|l). OE. The transformation T defined by T(x1, x2, x3) = (x1, x2, –X3)
Transcribed Image Text:Determine which of the following transformations are linear transformations. A. The transformation T defined by T(x1, x2) = (2x1 – 3x2, x1+4,5x2). O B. The transformation T defined by T(x1, x2, x3) = (1, x2, x3) O C. The transformation T defined by T(x1, x2, x3) = (x1,0, x3) D. The transformation T defined by T(x1, x2) = (4x1 – 2x2, 3|x2|l). OE. The transformation T defined by T(x1, x2, x3) = (x1, x2, –X3)
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