From e31657f0ef7fa28c240f0e1ffd35baea77d9b3a9 Mon Sep 17 00:00:00 2001 From: ben-jaynes <1btjaynes@gmail.com> Date: Sun, 4 Oct 2026 11:55:35 -0700 Subject: [PATCH] vault backup: 2026-10-04 11:55:35 --- .../AU 26/MATH 208 (Matrix Algebra)/Chapter 1.2 Notes.md | 6 +++++- 1 file changed, 5 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 2bf9527..0b5f44b 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 @@ -23,4 +23,8 @@ - 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 - - \ No newline at end of file +- 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 +- \ No newline at end of file