Jacobian Matrix
Statements
Definition. Let be a differentiable vector-valued function, the matrix
\dfrac{\partial f^1}{\partial x^1}&\cdots&\dfrac{\partial f^1}{\partial x^n}\\ \vdots&\ddots&\vdots\\ \dfrac{\partial f^m}{\partial x^1}&\cdots&\dfrac{\partial f^m}{\partial x^n} \end{pmatrix}$$ is said to be the _Jacobian matrix_. ## References [[Boothby, W. M. - An introduction to differentiable manifolds and riemannian geometry|@Boo75, pp. 26]]