34
Lectures
100
SAR
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CHAPTER 4 Vector Spaces
- 4.1 Introduction to Vectors 04:20
- 4.1 Operation on Vectors 05:10
- 4.1 Examples of Addition and Scalar Multiplication in Vector 07:20
- 4.1 Properties of Rn 06:13
- 4.2 Dot Product 06:56
- 4.2 Norm Vector 04:24
- 4.2 Unit Vector 06:37
- 4.2 The Angle Between Vectors in Rn 05:05
- 4.2 Orthogonal Vectors 09:18
- 4.2 Distance Between Vectors 06:54
- 4.3 Vector Space 20:58
- 4.3 Matrices of Size 2X2 is a Vector Space 08:19
- 4.3 Vector Space of Function 07:26
- 4.3 Useful Properties 04:02
- 4.4 Subspaces 08:30
- 4.4 Examples of Subspace and not Subspace Set 07:08
- 4.4 Vector Space of Polynomial 08:43
- 4.5 Linear Combination 06:58
- 4.5 Is the Vector Linear Combination of Other Vectors ? 06:52
- 4.5 Express Vector as Linear Combination ofSome Vectors 05:10
- 4.5 Liner Combination in Matrices 08:42
- 4.5 Linear Combination in Function 04:33
- 4.5 Spaning Set 11:14
- 4.5 Spanning Set is a Subspace of V 08:37
- 4.5 Equal Spanning Set 09:57
- 4.5 Example 11 04:01
- 4.6 Linearly Dependent and Independent 11:21
- 4.6 More in Linearly Dependent and Independent 07:59
- 4.6 Some Theorems 06:19
- 4.7 Basis 22:19
- 4.7 Some Theorems about Basis 12:11
- 4.7 Dimension 09:16
- 4.7 Some Theorems about Dimension 08:57
- 4.7 True or False 06:49
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CHAPTER 4 Vector Spaces