From c5012e6ccbb98f7ce34b9cf0dcb7c3a8655b267e Mon Sep 17 00:00:00 2001
From: Maciej Topyla <m.m.topyla@student.tudelft.nl>
Date: Sun, 4 Sep 2022 11:45:23 +0000
Subject: [PATCH] Update src/3_vector_spaces.md
---
src/3_vector_spaces.md | 6 +++---
1 file changed, 3 insertions(+), 3 deletions(-)
diff --git a/src/3_vector_spaces.md b/src/3_vector_spaces.md
index 2e13ec3..4424858 100644
--- a/src/3_vector_spaces.md
+++ b/src/3_vector_spaces.md
@@ -90,9 +90,9 @@ You might be already familiar with the concept of performing a number of various
!!! info "Scalar multiplication"
I can multiply a vector by a scalar number (either real or complex) to produce another vector, $$\vec{c} = \lambda \vec{a}.$$
Addition and scalar multiplication of vectors are both *associative* and *distributive*, so the following relations hold
- $$1. \hspace{5pt} (\lambda \mu) \vec{a} = \lambda (\mu \vec{a}) = \mu (\lambda \vec{a})$$
- $$2. \hspace{5pt} \lambda (\vec{a} + \vec{b}) = \lambda \vec{a} + \lambda \vec{b}$$
- $$3. \hspace{5pt} (\lambda + \mu)\vec{a} = \lambda \vec{a} +\mu \vec{a}$$
+ $$\begin{align} &1. \qquad (\lambda \mu) \vec{a} = \lambda (\mu \vec{a}) = \mu (\lambda \vec{a})\\
+ &2. \qquad \lambda (\vec{a} + \vec{b}) = \lambda \vec{a} + \lambda \vec{b}\\
+ &3. \qquad (\lambda + \mu)\vec{a} = \lambda \vec{a} +\mu \vec{a} \end{align}$$
### Vector products
--
GitLab