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College/AU 26/MATH 208 (Matrix Algebra)/Chapter 1.2 Notes.md

@@ -2,4 +2,10 @@
 - - -
 - Not all systems of linear equations will be in echelon form and easily solvable
 - There are three **elementary operations** that can be used to create a new system that is equivalent to the old one
-	- $$ 
+	- Interchange the position of two equations
+	- Multiply an equation by a nonzero constant
+	- Add a multiple of one equation to another
+	- $\sim$ is used to indicate the transformation between equivalent linear systems
+- matricies can be used to simplify when working with systems of linear equations
+	- matricies with all constant terms of a linear system of equations are called a **augmented matrix**
+	- $$\begin{align*} a_{11}x_{1} + a_{12}x_{2} + a_{13}  \end{align*}$$