16. Define a transformation T by T(x) = Ax. Find a vector x whose image under T is b and determine if x is unique. 1 -3 2 (a) A = 0 1 -4 b %3D 3 -5 -9 -2 1 3 (b) A = -4 1 b = 1 3 -3 -6 4

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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16. Define a transformation T by T(x) = Ax. Find a vector x whose image under T is b
and determine if x is unique.
1 -3 2
(a) A = 0
1
-4
b
%3D
3 -5 -9
1
-2
1
1
3
(b) A =
-4
1
b =
1
3
-3
-6
4
Transcribed Image Text:16. Define a transformation T by T(x) = Ax. Find a vector x whose image under T is b and determine if x is unique. 1 -3 2 (a) A = 0 1 -4 b %3D 3 -5 -9 1 -2 1 1 3 (b) A = -4 1 b = 1 3 -3 -6 4
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