18 Let = A = 2 -3 -5 4 -2 -3 3 -2 45 -52 6 -5 Define the linear transformation T : R³ → Rª by T(x) = Añ. Find a vector whose image under T is b. → and b = Is the vector a unique? choose î -22 18 9 -214

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 4CM
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18
Let
=
A = =
2
-5
- 3
45
-5
4
3
-52 6
-3
-2
-2
Define the linear transformation T: R³ → R¹ by T(x) = Ax. Find a vector
whose image under T is b.
Is the vector a unique? choose
and b =
✓ choose
unique
-22
18
9
-214
not unique
Transcribed Image Text:18 Let = A = = 2 -5 - 3 45 -5 4 3 -52 6 -3 -2 -2 Define the linear transformation T: R³ → R¹ by T(x) = Ax. Find a vector whose image under T is b. Is the vector a unique? choose and b = ✓ choose unique -22 18 9 -214 not unique
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