Linear Algebra and Differential Equation Part 2 math 227
math 227 part 2
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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 5 Eigenvalues and Eigenvectors
- 5.1 The Meaning of Eigenvalue and Eigenvector 06:23
- 5.1 Computing Eigenvalues and Eigenvectors 16:40
- 5.1 Example 1 (Finding Eigenvalue and Eigenvector for 2x2 Matrix) 11:58
- 5.1 Eigenspace 03:44
- 5.1 Example 1 (Finding Eigenvalue and Eigenvector for 3x3 Matrix) 20:31
- 5.3 Similar Matrices 03:09
- 5.3 The Eigenvalues of Similar Matrices 04:21
- 5.3 Diagonalization 03:55
- 5.3 Diagonalizable Matrix 05:27
- 5.3 Example 4 07:56
- 5.3 Computing Powers of a Matrix by Diagonalization 08:46
- 5.3 Example of a Matrix that it is not Diagonalizable 03:42
- 5.3 Symmetric Matrices 02:59
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Exercises of linear algebra
- 1.3 The Vector Space Rn (Q3(a,c), Q5(a,b,c,h), Q7, Q9, Q10(a,c)) 13:00
- 1.3 The Vector Space Rn (Q5(a,g), Q6(b,d)) 03:36
- 1.4 Subspace of Rn 08:23
- 1.5 Basis and Dimension in Rn 17:40
- 1,6 Dot Product, Norm, Angle and Distance (Q3, Q7, Q8, Q9, Q11, Q13, Q16(a,c), Q17(a,c), Q26(a,c,e), Q36) 19:54
- 1.6 Dot Product, Norm, Angle and Distance (Q2(a,b), Q4(a,c), Q6(a,e), Q10(a,c), 12(a,b), Q26(d), Q16(e), Q33, Q35) 08:57
- 3.4 Eigenvalue and Eigenvectors Part 1 (Q1) 08:09
- 3.4 Eigenvalue and Eigenvectors Part 2 (Q9) 09:49
- 3.4 Eigenvalue and Eigenvectors Part 3 (Q10) 09:44
- 3.4 Eigenvalue and Eigenvectors Part 4 (Q13) 06:58
- 3.4 Eigenvalue and Eigenvectors Part 5 (Q15) 07:52
- 3.4 Eigenvalue and Eigenvectors Par6 (Q24, Q26, Q32) 09:26
- 4.1 General Vector Spaces and Subspaces Part 1 (Q5, Q7, Q11) 06:26
- 4.1 General Vector Spaces and Subspaces Part 2 (Q13, Q15, Q19, Q21, Q23, Q25, Q27, Q29, Q33) 27:20
- 4.1 General Vector Space and Subspace (Q14, Q18(c), 22(c), 28(a)) 10:49
- 4.2 Linear Combination of Vectors Part 1 (Q1, Q3) 13:19
- 4.2 Linear Combination of Vectors Part 2 (Q5, Q7) 09:53
- 4.2 Linear Combination of Vectors Part 3 (Q9, Q11, Q15, Q17) 19:48
- 4.2 Linear Combinations of Vectors (Q2(a), Q4(c), Q8(a)) 10:57
- 4.3 Linear Independence of Vectors Part 1 (Q1, Q3) 12:39
- 4.3 Linear Independence of Vectors Part 2 (Q7, Q9) 07:43
- 4.3 Linear Independence of Vectors Part 3 (Q11, Q15, Q16) 09:30
- 4.3 Linear Independence of Victors Part 4 (Q2(b), Q6(d), Q8(c)) 09:47
- 4.4 Properties of Basis (Q1, Q5, Q11, Q13, Q15, Q17) 18:47
- 4.4 Properties of Basis (Q2(a), Q3(b), Q4(a), Q6(a,c), Q10, Q16(b), Q20(a,d)) 08:55
- 5.3 Diagonalization of a Matrix Part 1 18:31
- 5.3 Diagonalization of a Matrix Part 2 05:04
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Exam of Linear algebra
- حل كويز 2 2020 21:44
- REVIEW MID 2 19:07
- حل ميد 2 عام 2020 جزء 1 17:00
- حل ميد 2 عام 2020 جزء 2 31:34
- مقاطع لأهم الأساسيات
- الكويز والميد الخاص بالمعادلات التفاضلية
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First Order Differential Equations
- Exercise ( 1-35 ) 19:49
- Differential equations + Order + degree 18:50
- The Solution of Differential Equation 18:05
- Direct integration + Separation of variables 24:11
- Integration Factor 26:56
- Not Exact equation 12:43
- Exact Equation - 1 34:45
- Exact Equation - 2 16:35
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Second-Order DE - Homogeneous
- Homogeneous - Part 1 20:48
- Exercises (تمارين إضافية ) 29:44
- Homogeneous - Part 3 11:02
- Homogeneous - Part 2 06:33
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Second-Order DE - Non Homogeneous
- Finding the Particular integral - 1 15:28
- The variation of parameters method 36:05
- Finding the Particular integral - 2 10:45
- Finding the Particular integral - 3 08:50
- Example 8 07:38
- Example 9 10:33
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تمارين الواجب للمعادلات التفاضلية
- Exercises - 1 27:04
- Exercises - Part1 18:23
- Exercises - Part2 36:38
- Sec.4.4 Undetermined Coefficients- Superposition Approach
- Final Exam
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Homeworks of linear algebra
- Homework 1 part1 17:21
- Homework 1 part2 13:42
- Homework 1 part3 17:26
- Homework 1 part4 14:17
- Homework 2 part1 23:31
- Homework 2 part2 30:00
- Homework 3 part1 16:11
- Homework 3 part2 28:30
- Homework 4 27:23
- Homework 5 52:27
- Homework 6 (Solve Caramer's rule) 13:47
- Homework 7 (true or false about ch 4 )
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تمارين المعادلات التفاضلية
- تمارين 2.3 (2 -4- 6 -8 ) 35:34
- تمارين 2.4
- تمارين 4.1 11:33
- تمارين 4.3 10:05
- Extra Homework 10:05
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CHAPTER 4 Vector Spaces
- math 227 part 2
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