Date modified: Mon 2023-09-04 . 09:32 PM
Date created: Sat 2023-10-07 . 09:02 PM
# Linear system of equations and Gauss-Jordan Elimination Today we will learn how to solve **systems of linear equations** like this $$ \left\{\begin{array}{} 3x & +2y & -2z & = 1 \\ x & -5y & +3z & = 2 \end{array} \right. $$ where $x,y,z$ are unknown real numbers. The idea is to use **Gauss-Jordan Elimination** or in short **elementary row operations**, to turn the system into an equivalent system but in **echelon form**, which are easier to read off the answer directly. ## Chicken and rabbit: A motivation.