# Vector Space (Review) by Rashad Wattu

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

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