Let A be the matrix below and define a transformation T : <mi mathvariant="double-

Addison Trujillo 2022-07-15 Answered
Let A be the matrix below and define a transformation T : R 3 R 3 by T ( U ) = A U .. 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 2 4 4 3 8 6 ) = A
a) ( 4 6 11 ) = B
b) ( 3 2 7 ) = B
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Answers (2)

Zichetti4b
Answered 2022-07-16 Author has 13 answers
The reason you found no inverse is because A is not invertible. This can be seen by showing that detA=0
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aggierabz2006zw
Answered 2022-07-17 Author has 5 answers
Hint: write U = ( u 1 , u 2 , u 3 ) and then work out A U in terms of these components. You now have a system of linear equations to solve in the form A U = B.
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