Define the linear transformation T: R³ - A = -4 -5 3 11 -3 -5 6 2 5 -6 -7 25 and b = -38 8 20 66 R4 by T(x) = Ax. Find a vector x whose image under T is b.
Define the linear transformation T: R³ - A = -4 -5 3 11 -3 -5 6 2 5 -6 -7 25 and b = -38 8 20 66 R4 by T(x) = Ax. Find a vector x whose image under T is b.
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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Transcribed Image Text:wwwmm Let
x =
4
4
Define the linear transformation T: R³ R4 by T(x) = Ax. Find a vector x whose image under T is b.
->>>
2
A =
Is the vector x unique? unique
-4 -3 -5
-5
6
2
3
5 -6
11
-7 25
and b =
-38
8
20
66
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