From b05de6b39f374f4dc35452a5c091c2bff7701bee Mon Sep 17 00:00:00 2001 From: ben-jaynes <1btjaynes@gmail.com> Date: Sun, 4 Oct 2026 12:05:38 -0700 Subject: [PATCH] vault backup: 2026-10-04 12:05:38 --- College/AU 26/MATH 208 (Matrix Algebra)/Chapter 1.2 Notes.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) 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 0b5f44b..f52ff2c 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 @@ -22,9 +22,9 @@ - 1. multiply each nonzero row by the inverse of the pivot so every pivot is 1 - 2. manipulate so every pivot only has zeros above it - This means that leading variables are only in the equations that they lead - - This puts the matrix in reduced echelon form + - This puts the matrix in **reduced echelon form** - Homogeneous linear system - when the $b_{n}$ term of each equation is zero - There is a "trivial solution" where each variable equals zero - - There can also be non-trivial solutions + - There can also be non-trivial solutions - \ No newline at end of file