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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 -1 -2 A 3 -2 -7 -3 6 3 -5 a) B-12 5 24 -4 b) B=-12 25 T(U)= B for the following U: 1 U= 4 1 There is no U so that T(U)= B

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 -1 -2 A 3 -2 -7 -3 6 3 -5 a) B-12 5 24 -4 b) B=-12 25 T(U)= B for the following U: 1 U= 4 1 There is no U so that T(U)= B

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 -1 -1 -2 A = 3 -2 -7 -3 6 3 -5 a) B=-12 24 -4 b) B=-12 25 T(U)= B for the following U: 1 U = 4 1 There is no U so that T(U) = B ہے
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 -1 -1 -2 A = 3 -2 -7 -3 6 3 -5 a) B=-12 24 -4 b) B=-12 25 T(U)= B for the following U: 1 U = 4 1 There is no U so that T(U) = B ہے
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