From dbc555e82977b38c7dc7598e7f5b80786a69a559 Mon Sep 17 00:00:00 2001 From: ben-jaynes <1btjaynes@gmail.com> Date: Sat, 3 Oct 2026 17:00:11 -0700 Subject: [PATCH] vault backup: 2026-10-03 17:00:11 --- .../AU 26/MATH 208 (Matrix Algebra)/Chapter 1.2 Notes.md | 8 +++++++- 1 file changed, 7 insertions(+), 1 deletion(-) diff --git a/College/AU 26/MATH 208 (Matrix Algebra)/Chapter 1.2 Notes.md b/College/AU 26/MATH 208 (Matrix Algebra)/Chapter 1.2 Notes.md index 188a53a..1c92df9 100644 --- a/College/AU 26/MATH 208 (Matrix Algebra)/Chapter 1.2 Notes.md +++ b/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 - - $$ \ No newline at end of file + - Interchange the position of two equations + - Multiply an equation by a nonzero constant + - Add a multiple of one equation to another + - $\sim$ is used to indicate the transformation between equivalent linear systems +- matricies can be used to simplify when working with systems of linear equations + - matricies with all constant terms of a linear system of equations are called a **augmented matrix** + - $$\begin{align*} a_{11}x_{1} + a_{12}x_{2} + a_{13} \end{align*}$$ \ No newline at end of file