Calculus:
Jacobian Matrix
Consider the function \(f: \mathbb{R}^2\to \mathbb{R}^2\) defined by \(\cv{x\\y}\mapsto \cv{-3\,x-3\,y \\ x^2+y^2-3}\).
Compute the Jacobian matrix \(J(x,y)\) and determine its value in the point \((x,y)=(-1,3)\).
| \(J(x,y) ={}\) |
| \(J(x,y)\Biggl|_{(-1,3)} ={}\) |
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