# Linear Algebra: Important Definitions and Results

These notes are made and shared by Mr. Akhtar Abbas. We are really very thankful to him for providing these notes and appreciates his efforts to publish these notes on MathCity.org. These notes contains important definitions with examples and related theorem, which might be helpful to prepare interviews or any other written test after graduation like PPSC, FPSC or etc.

Name | Linear Algebra: Important Definitions and Results |
---|---|

Author | Mr. Akhtar Abbas |

Pages | 22 pages |

Format | PDF (see Software section for PDF Reader) |

Size | 560 kB |

### Contents & Summary

- If a vector space $V$ has a basis with $n$ elements, then $n$ is called dimension of $V$.
- If $W$ is a subspace of $V$, then dim(W) = dim(V).
- The span of column of a matrix $A$ is called column space of $A$.
- The span of rows of a matrix $A$ is called row space of $A$.

### Online View

### Download or View online

**Download PDF (560.33 KiB, 846 downloads)**| View Online

### Notes of other subjects

- Advanced Analysis: Handwritten Notes
- Algebra II by Syed Sheraz Asghar
- Complex Analysis (Easy Notes of Complex Analysis)
- Differential Geometry by Syed Hassan Waqas
- Differential Geometry: Handwritten Notes
- Fluid Mechanics I by Sir Rao Muzamal Hussain
- Functional Analysis by Mr. Tahir Hussain Jaffery
- Functional Analysis by Prof Mumtaz Ahmad
- Fundamental of Complex Analysis (Solutions of Some Exercises)
- Group Theory: Important Definitions and Results
- Groups (Handwritten notes)
- Linear Algebra: Important Definitions and Results
- Mathematical Method by Sir Muhammad Awais Aun
- Measure Theory Notes by Anwar Khan
- Mechanics (Easy Notes of Mechanics)
- Mechanics by Sir Nouman Siddique
- Metric Spaces (Notes)
- Number Theory by Dr Muhammad Umer Shuaib
- Number Theory: Handwritten Notes
- Number Theory: Notes by Anwar Khan
- Numerical Analysis by M Usman Hamid
- Numerical Analysis II
- Operation Research by Sir Haidar Ali
- Operation Research: Handwritten Notes
- Real Analysis (Notes by Prof. Syed Gul Shah)
- Ring (Notes) by Prof. M. Dabeer Mughal
- Rings (Handwritten notes)
- Theory of Relativity & Analytic Dynamics: Handwritten Notes
- Topology Notes by Azhar Hussain
- Topology: Handwritten Notes
- Vector Spaces (Handwritten notes)

- msc/notes/linear-algebra-important-definitions-and-results
- Last modified: 2 weeks ago
- by Administrator