Find the inverse of the transformation x'= 2x - 3y, y' = x + y, that is, find x, y in terms of x' , y' . (Hint: Use matrices.) Is the transformation orthogonal?

e1s2kat26 2021-01-04 Answered
Find the inverse of the transformation \(x=
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Aamina Herring
Answered 2021-01-05 Author has 85 answers
Step 1
To Determine:
Find the inverse of the transformation x=2x3y,y=x+y, that is, find x, y in terms of x' , y' . (Hint: Use matrices.) Is the transformation orthogonal?
Given: we have x=2x3y and y=x+y
Explanation: we can write down the above x' and y' in matrix form
(xy)=(2311)(xy)
(xy)=(2311)1(xy)
Step 2
Determinate will be
|2311|=2(3)=5
(xy)=(15351525)(xy)
(xy)=(x53y5x52y5)
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Jeffrey Jordon
Answered 2022-01-23 Author has 2064 answers

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