. Let A = 1 -5 -7 -3 7 5 (a) Find the image of u = and define T: R³ → R2 by T(x) = Ax. 2 B- -1 1 under T. (b) Find a vector x whose image under T is b = -12 12 . Explain why your work makes sense.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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8. Let A =
|
1
-3
-5 -7
7 5
(a) Find the image of u =
and define T: R³ R2 by T(x) = Ax.
2
1
under T.
(b) Find a vector x whose image under T is b =
-12
12
Explain why your work makes sense.
Transcribed Image Text:8. Let A = | 1 -3 -5 -7 7 5 (a) Find the image of u = and define T: R³ R2 by T(x) = Ax. 2 1 under T. (b) Find a vector x whose image under T is b = -12 12 Explain why your work makes sense.
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