CHAPTER 4 Vector Spaces (from the book) فقط للترم الصيفي
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                        CHAPTER 4  Vector Spaces (from the book) فقط للترم الصيفي  
                        - 4.1 vectors in a plane 16:34
- 4.1 Vectors in Rn 19:59
- 4.1 Theorem 4.3 29:23
- 4.1 Linear Combination 16:20
- 4.2 The Meaning of Vector Space 11:04
- 4.2 Some Example about Vector Spaces 08:28
- 4.2 Showing That a Polynomial of Degree 2 or Less Is a Vector Space 15:24
- 4.2 More About Vector Space 13:15
- 4.2 Example of Sets That Is Not a Vector Space 15:01
- 4.3 Subspaces 14:30
- 4.3 Theorem 4.5 10:20
- 4.3 Examples of Subspace and not Subspace Set 17:50
- 4.3 More Examples about Subspaces 22:40
- 4.4 Linear Combination 06:31
- 4.4 Finding Linear Combination 15:43
- 4.4 Spanning Vector Space 25:42
- 4.4 Testing for Spanning 17:24
- 4.4 Span of a Set 12:57
- 4.4 Linearly Independent and Linearly Dependent 17:03
- 4.4 Testing for Linear Independence 10:45
- 4.4 More Examples in Linearly Independent and Linearly Dependent 17:25
- 4.4 Linearly Dependent 20:20
- 4.5 Basis 17:34
- 4.5 More Examples about Basis 11:30
- 4.5 Basis and Linear Dependence 19:54
- 4.5 Number of Vectors in a Basis 07:56
- 4.5 Dimension 17:47
 
 
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                        CHAPTER 4  Vector Spaces (from the book) فقط للترم الصيفي  
                        

 
                             
                          
                                     
                                  
                                     
                                 