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zhenek [66]
3 years ago
12

Solve the system

Mathematics
1 answer:
Alexxandr [17]3 years ago
5 0

Answer:

x = \frac{2u+v}{7}

y =  \frac{2v - 3u }{7}

Jacobian value = 1/7

Step-by-step explanation:

Given data:

u = 2x -y

v = 3x + 2y

solving the system for  x and  y in terms of u and v

x = \frac{2u+v}{7}

y =  \frac{2v - 3u }{7}

The value of the Jacobian =  1/7 ( solution attached below )

Image under the transformation of the triangular region with vertices ( 0,0) , (2,4) and (2,-3) in the x-y plane is attached below

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