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3 years ago

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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