How to Solve Linear Equations in Python

Python, a high-level programming language, is known for its easy syntax and computational power, asked by both beginners and experts. While being applied in web development, machine learning, data analysis, AI, and scientific computing, one of the basic mathematics it can handle effortlessly is Linear Equations

In this tutorial, we will walk you through your journey of programming that will allow you to solve Linear equations effectively.

Step 1: Understanding Linear Equations

Simultaneously, a linear equation represents a line on the graph and a balance between certain variables. Basic properties of these equations include a constant slope and the inability to form spheres, curves, or any other shapes except a straight line when plotted.

Step 2: Installing the necessary Python libraries

We will use Numpy and Scipy, two of the most commonly used Python scientific libraries, which provide high-level mathematical functions. To install these libraries, open your command line or terminal and type the following:

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pip install numpy scipy

Step 3: Formating Linear Equations for Python

These equations will be written in a 2-dimensional array, where we split variables and their values.

Step 4: Solving the Equation with Python

Import the required libraries and write the equations in the matrix form. The numpy.linalg.solve() function will be used to solve these equations.

Here’s an example:

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import numpy as np
from scipy import linalg
 
a = np.array([[3, 2, 0], [1, -1, 0], [0, 5, 1]])
b = np.array([2, 4, -1])
 
x = linalg.solve(a, b)
print(x)
 
[ 2. -2.  9.]

Conclusion

In this tutorial, you have learned about linear equations, how to set them up, and how to use Python to solve them. The potential for using Python for more complex mathematical computation is immense and beyond these basics. With this fundamental knowledge, you can solve a far wider variety of mathematical problems with Python.

Remember that programming is all about practice. The more equations you solve and the more different methods you employ, the better you’ll understand Python while handling mathematics.