(Solved):
Consider the map \( T: \mathbb{R}^{3} \rightarrow \mathbb{R}^{3} \) given by ...
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Consider the map \( T: \mathbb{R}^{3} \rightarrow \mathbb{R}^{3} \) given by \( T(u, v, w)=\left(u^{4}-v^{4}, u v, w\right) \). Compute its Jacobian determinant \( \operatorname{det} D T(u, v, w) \).
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