Suppose I have the following transformation:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

u = \frac{x}{x^2+y^2+z^2}

[/tex]

[tex]

v = \frac{y}{x^2+y^2+z^2}

[/tex]

[tex]

w = \frac{z}{x^2+y^2+z^2}

[/tex]

Is there a fast way to calculate the determinant jacobian without having to deal with the whole 3x3 determinant?

I noticed that the inverse transformation is the same (switching x,y,z with u,v,w gives the equality again) but the determinant is not 1, so I don't really know if this can help.

Or would I really have to do it the long and boring way?

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# Question about computing Jacobians of transformations

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