Solving Systems of Linear Equations with Python’s Numpy
The Numpy library can be used to perform a variety of mathematical/scientific operations such as matrix cross and dot products, finding sine and cosine values, Fourier transform and shape manipulation, etc. The word Numpy is short-hand notation for “Numerical Python”.
In this article, you will see how to solve a system of linear equations using Python’s Numpy library.
What is a System of Linear Equations?
Wikipedia defines a system of linear equations as:
In mathematics, a system of linear equations (or linear system) is a collection of two or more linear equations involving the same set of variables.
The ultimate goal of solving a system of linear equations is to find the values of the unknown variables. Here is an example of a system of linear equations with two unknown variables, x and y:
Equation 1:
4x + 3y = 20
-5x + 9y = 26
To solve the above system of linear equations, we need to find the values of the x and y variables. There are multiple ways to solve such a system, such as Elimination of Variables, Cramer’s Rule,