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71
Lectures
100
SAR
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CHAPTER 1 System of Linear Equation and Matrices
- 1.1 Linear Equation 12:45
- 1.1 Solution of System of Linear Equations 10:25
- 1.1 Number of Solution 14:17
- 1.1 Solving The System of Linear Equation 08:53
- 1.1 Solving The System of Linear Equation (infintly many solution) 13:02
- 1.1 Augmented Matrices and Elementary Row Operations 08:31
- 1.1 Using Elementary Row Operations 20:45
- 1.2 What We Are Going To Do? 05:19
- 1.2 Echelon Form 10:00
- 1.2 Examples for Echelon Form 06:26
- 1.2 Solution from Echelon Form Part1 03:08
- 1.2 Solution from Echelon Form Part2 09:57
- 1.2 Gauss and Gauss Jordan Methods 18:24
- 1.2 Solve By Gauss 13:54
- 1.2 Solve By Gauss Jordan 09:38
- 1.2 Example 5 18:34
- 1.2 Homogeneous Linear System 05:50
- 1.2 Solving Homogeneous Linear System 03:51
- 1.2 Free Variable Theorem 05:52
- 1.2 Back Substitution 06:02
- 1.2 Example 8 03:42
- 1.2 Some Fact About Echelon Form 05:00
- 1.3 Introduction to Matrices 06:34
- 1.3 More About Matrices 07:11
- 1.3 Equal Matrices 03:20
- 1.3 Adding Two Matrices 05:29
- 1.3 Scalar Multiple 05:08
- 1.3 Multiplying Two Matrices 11:46
- 1.3 Examples of Multiplying Two Matrices 07:32
- 1.3 Matrix Multiplication by Columns and by Rows 06:48
- 1.3 Example 7 04:32
- 1.3 Linear Combinations of Matrices 03:31
- 1.3 Theorem 1.3.1 05:12
- 1.3 Example 9 03:08
- 1.3 Columns-Rows Expansion 06:16
- 1.3 Matrix Form of a Linear System 02:20
- 1.3 Transpose of a Matrix 04:38
- 1.3 Trace of a Matrix 03:09
- 1.4 Properties of Matrices 07:50
- 1.4 Properties of Matrix Multiplication 05:37
- 1.4 Zero Matrix and It's Properties 04:34
- 1.4 Cancellation Law and Zero Product in Matrices 05:28
- 1.4 Identity Matrix 06:47
- 1.4 Theorem 1.4.3 02:24
- 1.4 Inverse of a Matrix 09:16
- 1.4 Uniqueness of Inverse 05:06
- 1.4 Finding The Inverse of 2x2 Matrices 08:47
- 1.4 Example 7 03:19
- 1.4 Example 8 02:23
- 1.4 Product of Invertible Matrices 06:38
- 1.4 Powers of a Matrix Part 1 06:14
- 1.4 Powers of a Matrix Part 2 06:45
- 1.4 Matrix Polynomial 03:42
- 1.4 Properties of Transpose 08:02
- 1.5 Inverse Row Operation 07:52
- 1.5 Elementary Matrix 06:07
- 1.5 Row Operation by Matrix Multiplication 08:22
- 1.5 Inverse Operations in Elementary Matrix 07:26
- 1.5 Equivalent Statement 06:47
- 1.5 Using Row Operations to Find the Inverse 09:12
- 1.5 Showing That a Matrix Is Not Invertible 04:45
- 1.6 Solving Linear System By Inverse of Matrix 08:21
- 1.6 Solving Many Linear System at Once 08:33
- 1.6 More Properties of Invertible Matrices 03:47
- 6.1 Determining Consistency 12:09
- 1.7 Diagonal Matrix 11:07
- 1.7 Triangular Matrix 08:58
- 1.7 Symmetric Matrices 10:50
- 1.7 Product of a Matrix With its Transpose 09:03
- 1.8 Matrix Transformation 12:46
- 1.8 Standard Matrix 15:21
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CHAPTER 1 System of Linear Equation and Matrices
