====== 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.
{{ :notes:vector-spaces-review-by-rashad-wattu.jpg?nolink|Vector Space (Review) by Rashad Wattu}}

We are very thankful to [[people:rashad]] 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

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====Notes by Other Authors====
{{topic>vector&nouser&simplelist}}

{{tag>BS MSc Notes Vector Vector_Space Rashad_Wattu}}