Jacobian Matrix

#incomplete

Given a system of equations, :

the Jacobian Matrix, , is a matrix of the partial derivatives of the system of equations, .

For example, given the system of equations in vector form, :

One finds that and , thus one only needs to find the partial derivative of these two functions in reference to (hold as a constant) then again in reference to (hold as a constant). Thus the Jacobian Matrix is:

See partial derivative notation for notation information.