Determine which of the following transformations are linear transformations. A. The transformation T defined by T(1, 12, 13) = (11, 12, –23) B. The transformation T defined by T(r1, r2) = (4rı – 212, 3|r2|). C. The transformation T defined by T(r1, 12) = (2x1 – 312, T1+4, 5r2). D. The transformation T defined by T(z1, 12, T3) = (1, x2, 13) E. The transformation T defined by T(21, 2, 13) = (21,0, r3)
Determine which of the following transformations are linear transformations. A. The transformation T defined by T(1, 12, 13) = (11, 12, –23) B. The transformation T defined by T(r1, r2) = (4rı – 212, 3|r2|). C. The transformation T defined by T(r1, 12) = (2x1 – 312, T1+4, 5r2). D. The transformation T defined by T(z1, 12, T3) = (1, x2, 13) E. The transformation T defined by T(21, 2, 13) = (21,0, r3)
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.
OA. The transformation T defined by T(1,72, T3) = (11, 12, –13)
B. The transformation T defined by T(1, 12) = (4x1 – 2x2, 3|12|).
C. The transformation T defined by T(11, 12) = (2x1 – 3r2, T1 + 4, 5x2).
D. The transformation T defined by T(r1, 12, T3) = (1, r2, 13)
E. The transformation T defined by T(1,12, T3) = (21,0, 13)
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