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Multivariable CalculusEasyChange of Variables & the Jacobian

Change of Variables & the Jacobian · Easy problem

For the change of variables x=uvx = uv, y=vwy = vw, z=wuz = wu, compute the Jacobian determinant ∂(x,y,z)∂(u,v,w)\dfrac{\partial(x,y,z)}{\partial(u,v,w)} at the point (u,v,w)=(1,2,3)(u,v,w) = (1,2,3).