From 500fbf80895ab76b6e071f524c76b9772ea34aeb Mon Sep 17 00:00:00 2001 From: Jet Hughes Date: Sun, 10 Jul 2022 20:03:05 +1200 Subject: [PATCH] vault backup: 2022-07-10 20:03:05 --- content/notes/01-Vector-Spaces-and-Subspaces.md | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/content/notes/01-Vector-Spaces-and-Subspaces.md b/content/notes/01-Vector-Spaces-and-Subspaces.md index bfd85cbb8..7ab43a90c 100644 --- a/content/notes/01-Vector-Spaces-and-Subspaces.md +++ b/content/notes/01-Vector-Spaces-and-Subspaces.md @@ -6,12 +6,14 @@ tags: - math202 --- -- ![pdf](https://www.maths.otago.ac.nz/webdata/resources/math202/2022_S2_Outline_Notes/Ch1.pdf?m=1657334841) +- [pdf](https://www.maths.otago.ac.nz/webdata/resources/math202/2022_S2_Outline_Notes/Ch1.pdf?m=1657334841) - a vector space is a set whose elements conform to the eight axioms of scaling and additiveness - e.g., - ℝ², ℝ³, P₃ - In this course we focus on three main vector spaces - ℝⁿ, Pₙ, $M_{m\times n}$ + +- a vector subspace is a subset of a vector space whose elements (which are vectors) are additively and multipicatively closed and contain the zero vector -