Question

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 =
+3+3 −6
+1+3 −8
−3 0 −2
B =
+6
0
−9
Not sure how to start this question..please help!

Answer 1

U =
2
-1
3