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. 1 3 2 A|-2-5-2 -2 -5 -2 a) B = -12 21 21 5 12 12 -5 b) B = 12 < Select an answer > < Select an answer > There is no U so that T(U) = B T(U)= B for the following U: < Select an answer >

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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.
1 3 2
A-2 -5 -2
-2 -5 -2
a) B
-12
21
21
-5
b) B = 12
12
< Select an answer >
< Select an answer >
There is no U so that T(U) = B|
T(U)= B for the following U:
< Select an answer >
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. 1 3 2 A-2 -5 -2 -2 -5 -2 a) B -12 21 21 -5 b) B = 12 12 < Select an answer > < Select an answer > There is no U so that T(U) = B| T(U)= B for the following U: < Select an answer >
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