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