Let A be the matrix below and define a transformation T:R³ R³ by T(u) = Au. For the vector b below, find vector u such that T maps u to b, if possible. Otherwise state that there is no such u. 1 -2 -1 A-1 5 10 -1 4 8 -5 b = 11 8 < Select an answer > Select an answer > There is no u so that T(u) = b T(u) = b for the following u:

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 11CM
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Let A be the matrix below and define a transformation T:R³→R³ by T(u) = Au. For the vector b below, find a vector u such that I maps u to b, if possible. Otherwise state that there is no such u.
1 -2 -1
-1 5 10
-1
4 8
A=
=
b=
-5
11
8
< Select an answer
< Select an answer >
There is no u so that T(u) = b|
T(u) = b for the following u:
Transcribed Image Text:Let A be the matrix below and define a transformation T:R³→R³ by T(u) = Au. For the vector b below, find a vector u such that I maps u to b, if possible. Otherwise state that there is no such u. 1 -2 -1 -1 5 10 -1 4 8 A= = b= -5 11 8 < Select an answer < Select an answer > There is no u so that T(u) = b| T(u) = b for the following u:
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