Gaussian Elimination Using Python
Explore how to implement Gaussian elimination using Python to solve linear systems by converting matrices to row echelon form. Understand the algorithm's steps including pivot selection, row swapping, and elimination. Gain practical experience manipulating numpy arrays and visualize each step of the process to build a solid foundation in matrix operations.
The goal of Gaussian elimination is to convert a matrix to its row echelon form, . We discussed the steps of the algorithm in detail in the previous lesson. In this lesson, we’ll translate those steps into a Python program.
Implementation
The code below is an implementation of the Gaussian elimination algorithm in Python. The Elimination function takes a two-dimensional np.array as input. It ...