Skip to content
Snippets Groups Projects
Commit c1042113 authored by Sonia Conesa Boj's avatar Sonia Conesa Boj
Browse files

Update 3_vector_spaces.md

parent 2eb617b2
No related branches found
No related tags found
No related merge requests found
Pipeline #42486 passed
......@@ -74,9 +74,9 @@ You might be familiar with the concept that one can perform a number of **operat
Addition and scalar multiplication of vectors are both {\bf associative} and {\bf distributive}, so the following
relations hold
- $$(\lambda \mu) \vec{a} = \lambda (\mu \vec{a}) = \mu (\lambda \vec{a})$$
- $$\lambda (\vec{a} + \vec{b}) = \lambda \vec{a} + \lambda \vec{b}$$
- $$(\lambda + \mu)\vec{a} = \lambda \vec{a} +\mu \vec{a}$$
1. $$(\lambda \mu) \vec{a} = \lambda (\mu \vec{a}) = \mu (\lambda \vec{a})$$
2. $$\lambda (\vec{a} + \vec{b}) = \lambda \vec{a} + \lambda \vec{b}$$
3. $$(\lambda + \mu)\vec{a} = \lambda \vec{a} +\mu \vec{a}$$
- **Vector product**: in addition to multiplying a vector by a scalar, as mentioned above, one can also multiply two vectors among them.
There are two types of vector productions, one where the end result is a scalar (so just a number) and
......
0% Loading or .
You are about to add 0 people to the discussion. Proceed with caution.
Finish editing this message first!
Please register or to comment