1 -3 2 - 4 Let A= - 3 4 -1 and b= - 2 Define a transformation T: R3→R3 by T(x)= Ax. If possible, find a vector x whose image under T is b. Otherwise, state 2 -5 3 - 4 that b is not in the range of the transformation T.

1 -3 2 - 4 Let A= - 3 4 -1 and b= - 2 Define a transformation T: R3→R3 by T(x)= Ax. If possible, find a vector x whose image under T is b. Otherwise, state 2 -5 3 - 4 that b is not in the range of the transformation T.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.1: Introduction To Linear Transformations

Problem 39E: For the linear transformation from Exercise 33, find a T(1,1), b the preimage of (1,1), and c the...

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Question

1
-3
2
- 4
Let A=
- 3
4 -1
and b=
- 2
Define a transformation T: R3→R3 by T(x)= Ax. If possible, find a vector x whose image under T is b. Otherwise, state
2 -5
3
- 4
that b is not in the range of the transformation T.
OA.
- 2
- 2
В.
-8
- 4
- 4
OC.
4
4
-
O D. bis not in the range of the transformation T.

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