T(x, y, z) =? (a) (x + 2y, -y- 2z, -2) (r = y, 2x = 3y + z) (b) (c) (x – y, 2x – 3y – 2) (d) - - (x +2y,-x- 3y – z)

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 the linear transformation T: R
→ R2
-1
that has the given matrix A
-3 -1
T(x, y, z) =?
(a) (x + 2y, -y- 2z, -2)
(ar = y, 2x = 3y + z)
(c) (x – y, 2x –
(x + 2y, -x - 3y - z)
(b)
3y – z)
(d)
Transcribed Image Text:Determine the linear transformation T: R → R2 -1 that has the given matrix A -3 -1 T(x, y, z) =? (a) (x + 2y, -y- 2z, -2) (ar = y, 2x = 3y + z) (c) (x – y, 2x – (x + 2y, -x - 3y - z) (b) 3y – z) (d)
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