Mastering Numerical Computing with NumPy

Solving linear equations

In this section, you will learn how to solve linear equations by using the linalg.solve() method. When you have a linear equation to solve, as in the form , in simple cases you can just calculate the inverse of A and then multiply it by B to get the solution, but when A has a high dimensionality, that makes it very hard computationally to calculate the inverse of A. Let's start with an example of three linear equations with three unknowns, as follows:

So, these equations can be formalized as follows with matrices: ...