Find the jacobian of the transformation. x = 4u/v, y = 6v/w, z = 7w/u

1 answer:

4 0

$\dfrac{\partial(x,y,z)}{\partial(u,v,w)}=\begin{bmatrix}x_u&x_v&x_w\\y_u&y_v&y_w\\z_u&z_v&z_w\end{bmatrix}=\begin{bmatrix}\dfrac4v&-\dfrac{4u}{v^2}&0\\\\0&\dfrac6w&-\dfrac{6v}{w^2}\\\\-\dfrac{7w}{u^2}&0&\dfrac7u\end{bmatrix}$

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