Let T : R2 R³ be a linear transformation such that T(r, y) = (x - 2y, -a+3y, 3x- 2y). Find a vector x (r1, 22) such that T(x) = (-1, 4, 9). %3D %3D %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let T : R? → R³ be a linear transformation such that T(x, y)
2y, -x+3y, 3x- 2y). Find a vector x = (x1, x2) such that T(x) (-1,4, 9).
(r -
(5-5)
A)
(5,3)
B)
(8.3)
(-4,6)
D)
E)
Transcribed Image Text:Let T : R? → R³ be a linear transformation such that T(x, y) 2y, -x+3y, 3x- 2y). Find a vector x = (x1, x2) such that T(x) (-1,4, 9). (r - (5-5) A) (5,3) B) (8.3) (-4,6) D) E)
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