Most practical problems are of non-linear nature.
In Chapter 8, you learned how to solve non-linear scalar equations. In this chapter, you will learn how to solve systems of non-linear equations. Thus, we will start with a discussion on how we linearise an vector function. Use the following exercise to make certain that you have understood the principle. In this case, we will need to compute the Jacobian numerically, i.e. we will perform a numerical differentiation.