---
title: "Gaussian elimination"
source: https://www.jemoka.com/posts/kbhgaussian_elimination/
---

The point of Gaussian elimination is to solve/identiy-ify a linear equation. Take, if you have a matrix expression:
\begin{equation} Ax = b \end{equation}
We can apply \(A^{-1}\) to both side, we then have:
\begin{equation} A^{-1}Ax = A^{-1} b \end{equation}
Applying the definition of the identity:
\begin{equation} Ix = A^{-1}b \end{equation}
Therefore, to solve for some \(A^{-1}\), which would yield \(x\).
