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 T maps U to B, if possible. Otherwise state that there is no such U.
A =
2
6
6
−1
−3
−2
−1
−3
−1
B =
−22
6
1
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