Solving Systems Of Linear Equations With Gaussian Elimination
Gaussian Elimination solves systems of linear equations by transforming the matrix into upper triangular form (row echelon form) using forward elimination & back substitution. Implemented in Python with O(N³) time complexity.
Gaussian Elimination is a powerful algorithm used to solve systems of linear equations. It’s widely used in programming for applications like machine learning, physics simulations, and optimization problems. In this blog, we’ll explain how Gaussian Elimination works, provide practical examples, and include Python code snippets to help you implement it. What is Gaussian Elimination? Gaussian Elimination is a method for solving systems of linear equations by transforming the matrix of coefficients into an upper triangular form (row echelon form). Once the matrix is in this form, we ca...