78
Lectures
80
SAR
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Exercises of linear algebra
- 1.1 Matrices and System of Linear Equations part 1 (Q1,Q2,Q4,Q5) 09:33
- 1.1 Matrices and System of Linear Equations part 2 (Q6,Q7) 10:20
- 1.1 Matrices and System of Linear Equations part 3 ( Q10(a,b) ) 10:54
- 1.1 Matrices and System of Linear Equations part 4 ( Q10(c) ) 10:21
- 1.1 Matrices and System of Linear Equations part 5 ( Q10(d,e) ) 15:00
- 1.1 Matrices and System of Linear Equations part 6 (Q10(f), Q13) 12:36
- 1.1 Matrices and System of Linear Equations part 7 ( Q11(e) ) 07:04
- 1.1 Matrices and Systems of Linear Equations (Q11(d), !2(a)) 17:10
- 1.2 Gauss Jordan Elimination part 1 ( Q2, Q5(a) ) 14:33
- 1.2 Gauss Jordan Elimination part 2 (Q5(b,c)) 14:28
- 1.2 Gauss Jordan Elimination part 3 (Q5(d,e,f)) 09:19
- 1.2 Gauss Jordan Elimination part 4 (Q8(a)) 11:56
- 1.2 Gauss Jordan Elimination part 5(Q8(b,c,d,e)) 08:34
- 1.2 Gauss Jordan Elimination part 6 (Q8(g,f), Q14(a,b)) 13:46
- 1.2 Gauss Jordan Elimination part 7 (Q1, Q3(a,c,d,e),Q6(f),Q7(d)) 21:20
- 1.2 Gauss-Jordan Elimination (Q6(a,c,e), Q7(c,e)) 39:19
- 2.1 Addition, Scalar Multiplication, Multiplication of Matrices Part 1 (Q5) 16:41
- 2.1 Addition, Scalar Multiplication, Multiplication of Matrices Part 2 (Q8,Q11,Q17) 15:14
- 2.1 Addition, Scalar Multiplication, Multiplication of Matrices Part 3 (Q2, Q4, Q12, Q16) 30:44
- 2.1 Addition, Scalar Multiplication, and Multiplication of Matrices ( Q1(a,b,e,f), Q3(a,b,c,d,h) Q9(b,c,e,g) Q10(a)) 26:22
- 2.2 Properties of Matrix Operations Part 1 (Q6,Q8) 08:46
- 2.2 Properties of Matrix Operations Part 2 (Q19, Q27) 09:54
- 2.2 Properties of Matrix Operations Part 3 (Q31, Q11) 10:13
- 2.2 Properties of Matrix Operations Part 4 (Q3, Q4(a,c), Q5(a), Q12(b,c), Q17, Q24, Q29(a)) 21:41
- 2.2 Properties of Matrix Operations (Q1(a), Q5(c,d), Q30, Q32(c)) 19:18
- 2.3 Symmetric Matrices Part 1 ( Q1(a,d), Q2(a,b,c), Q3(a,b) ) 07:32
- 2.3 Symmetric Matrices Part 2 ( Q5(a,b), Q11, Q23 ) 15:52
- 2.3 Symmetric Matrices Part 3 ( Q1(e,f), Q3(c,e), Q15 ) 09:33
- 2.3 Symmetric Matrices (Q1(i), Q3(d), Q6, Q7, Q14) 17:58
- 2.4 The Inverse of a Matrix Part 1 (Q3(a), Q4(a), 6(a)) 10:10
- 2.4 The Inverse of a Matrix Part 2 (Q6(b,c), Q7(a,b), Q8(a,b)) 14:28
- 2.4 The Inverse of a Matrix Part 3 (Q9(a), Q14, Q15) 10:36
- 2.4 The Inverse of a Matrix Part 4 (Q16, Q19) 07:04
- 2.4 The Inverse of a Matrix Part 5 (Q21) 06:00
- 2.4 The Inverse of a Matrix Part 6 (Q1(b), Q2(b), Q3(b,e), Q4(d), Q5(b), Q7(c), Q9(b), Q18) 52:10
- 2.4 The Inverse of a Matrix (Q1(a,c), Q3(c), Q5(c), Q7(d), Q13, Q17) 30:20
- 3.1 Introduction to Determinants Part 1 (Q1,Q3,Q5) 14:14
- 3.1 Introduction to Determinants Part 2 (Q7) 08:20
- 3.1 Introduction to Determinants Part 3 (Q9) 06:13
- 3.1 Introduction to Determinants Part 4 (Q11, Q13) 15:29
- 3.1 Introduction to Determinant Part 5 (Q6(b), Q8(b), Q14) 22:45
- 3.2 Properties of Determinants Part 1 (Q1) 11:25
- 3.2 Properties of Determinants Part 2 (Q3, Q5, Q7) 12:59
- 3.2 Properties of Determinants Part 3 (Q9, Q13) 10:04
- 3.2 Properties of Determinant ( Q4, Q6(a,b), Q8, Q12(c) ) 17:01
- 3.3 Determinants, Matrix Inverse and Systems of Linear Equations Part1 (Q1, Q5) 11:59
- 3.3 Determinants, Matrix Inverse and Systems of Linear Equations Part 2 (Q7) 09:55
- 3.3 Determinants, Matrix Inverse and Systems of Linear Equations Part 3 ( Q9, Q11(a) ) 14:13
- 3.3 Determinants, Matrix Inverse and Systems of Linear Equations Part 4 (Q11(b,c), Q13, Q15) 10:27
- 3.3 Determinant, Inverse Matrix, Linear System part 5( Q3(b), Q4(b), Q6(c), Q8(b), Q10(a) ) 20:46
- 3.3 Determinant, Inverse Matrix, Linear System part 5( Q3(a,d) ) 05:01
- 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
- 1,6 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
- 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
- 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
- 5.3 Diagonalization of a Matrix Part 1 18:31
- 5.3 Diagonalization of a Matrix Part 2 05:04
- 1.4 Subspace of Rn 08:23
- 1.5 Basis and Dimension in Rn 17:40
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Exercises of linear algebra
