Vector Space (Review) by Rashad Wattu
Mathematical vector space is a crucial and fundamental idea. It depends on the concept of field. These notes were primarily written to help maths students understand vector space, which is a concept that they all need to be familiar with.
We are very thankful to Rashad Wattu for providing these notes and appreciates his effort to publish these notes on MathCity.org
| Name | Vector Space (Review) |
|---|---|
| Author | Mr. Rashad Wattu |
| Writer | Ms. Hadiqa Mumtaz |
| Pages | 37 pages |
| Format | PDF (see Software section for PDF Reader) |
| Size | 4.96 MB |
Contents or Summary:
- Definition: Vector Space
- Examples
- Subspace, examples, trivial subspace, non-trivial subspace
- Union of subspaces
- Intersection of subspaces
- Sum of subspaces
- Direct sum
- Linear combination and spanning sets
- Spanning sets
- Null spaces
- Column spaces
- Linear transformation
- Linearly independent sets
- Linearly dependent sets
- Basis and dimension
- Finite dimension vector space.
- Finite and infinite dimension vector space.
- Spanning set theorem
- Rank theorem
- Invertible matrix theorem
- Eigen values and eigen vectors
- Eigen space
- Orthogonal matrix