Let A be the matrix below and define a transformation T:R3→R3 by T(U) = AU. For %3D each of the vectors B below, find a vector U such that T maps U to B, if possible. Otherwise state that there is no such U. 2 -2 -4 A = 2 -1 -3 -1 -1 1 26 a) B = 20 < Select an answer > -5 4 < Select an answer > b) B = | 2 -1

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
each of the vectors B below, find a vector U such that T maps U to B, if possible.
Otherwise state that there is no such U.
2 -2 -4
2 -1 -3
%3D
-1 -1 1
26
< Select an answer >
a) B = 20
%3D
-5
4
< Select an answer >
b) В %3D 2
-1
|
LO
Transcribed Image Text:Let A be the matrix below and define a transformation T:R3→R3 by T(U) = AU. For each of the vectors B below, find a vector U such that T maps U to B, if possible. Otherwise state that there is no such U. 2 -2 -4 2 -1 -3 %3D -1 -1 1 26 < Select an answer > a) B = 20 %3D -5 4 < Select an answer > b) В %3D 2 -1 | LO
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