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Course Overview
Schedule of Classes
Course Curriculum
1 Subject
Matrices
16 Exercises • 93 Learning Materials
1. Matrix Introduction
1.1 Introduction
PDF
1.2 Key Concepts
PDF
1.3 Types of Matrices
PDF
1.4 Types of Matrices
PDF
1.5 Application of Matrices
PDF
1.6 Matrix Introduction
Video
00:08:03
1.6 Quiz
Exercise
1.7 Matrix Addition
Video
00:02:10
1.7 Quiz
Exercise
1.8 Matrix Multiplication
Video
00:04:38
1.8 Quiz
Exercise
1.9 Determinant of Matrix
Video
00:03:08
1.9 Quiz
Exercise
1.10 Inverse of a Matrix
Video
00:05:13
1.10 Quiz
Exercise
1.11 Application of Matrices
Video
00:05:50
2. Real matrices: Symmetric, skew – symmetric, orthogonal
2.1 Types of Real Matrices
PDF
2.2 Orthogonal Matrix
PDF
2.3 Solved Problem 1
Video
00:03:11
2.4 Solved Problem 2
Video
00:02:49
2.5 Solved Problem 3
Video
00:03:57
2.6 Solved Problem 4
PDF
2.7 Solved Problem 5
PDF
2.8 Solved Problem 6
PDF
2.9 Solved Problem 7
PDF
2.10 Solved Problem 8
PDF
2.11 Solved Problem 9
PDF
2.12 Solved Problem 10
PDF
2.13 Exercises
PDF
3. Complex matrices: Hermitian, Skew - Hermitian, Unitary Matrices
3.1 Complex Matrices
PDF
3.2 Solved Problem 1
Video
00:05:26
3.3 Solved Problem 2
Video
00:03:33
3.4 Solved Problem 3
PDF
3.5 Solved Problem 4
PDF
3.6 Solved Problem 5
PDF
3.7 Solved Problem 6
PDF
3.8 Solved Problem 7
PDF
3.9 Solved Problem 8
PDF
3.10 Solved Problem 9
PDF
3.11 Solved Problem 10
PDF
3.12 Solved Problem 11
PDF
3.13 Exercises
PDF
4. Rank of a matrix (Echelon form)
4.1 Introduction
PDF
4.2 Rank of Matrix
PDF
4.3 Elementary Transformations
PDF
4.4 Echelon Form or Triangular Form of a Matrix
PDF
4.5 Solved Problem 1
Video
00:06:38
4.5 Quiz
Exercise
4.6 Solved Problem 2
Video
00:05:35
4.6 Quiz
Exercise
4.7 Solved Problem 3
PDF
4.8 Solved Problem 4
PDF
4.9 Solved Problem 5
PDF
4.10 Solved Problem 6
PDF
4.11 Solved Problem 7
PDF
4.12 Solved Problem 8
PDF
4.13 Exercises
PDF
5. Rank of a matrix (Normal form or Canonical form)
5.1 Introduction
PDF
5.2 Solved Problem 1
Video
00:07:54
5.2 Quiz
Exercise
5.3 Solved Problem 2
Video
00:07:12
5.3 Quiz
Exercise
5.4 Solved Problem 3
PDF
5.5 Solved Problem 4
PDF
5.6 Solved Problem 5
PDF
5.7 Exercises
PDF
6. Inverse of a matrix by Gauss – Jordan method
6.1 Introduction
PDF
6.2 Solved Problem 1
Video
00:06:39
6.2 Quiz
Exercise
6.3 Solved Problem 2
Video
00:04:25
6.3 Quiz
Exercise
6.4 Solved Problem 3
PDF
6.5 Solved Problem 4
PDF
6.6 Exercises
PDF
7. Consistency of Non-Homogenous Linear Equations
7.1 Introduction
PDF
7.2 Working Procedure
PDF
7.3 Solved Problem 1
Video
00:10:18
7.3 Quiz
Exercise
7.4 Solved Problem 2
Video
00:07:31
7.4 Quiz
Exercise
7.5 Solved Problem 3
Video
00:07:19
7.5 Quiz
Exercise
7.6 Solved Problem 4
PDF
7.7 Solved Problem 5
PDF
7.8 Solved Problem 6
PDF
7.9 Solved Problem 7
PDF
7.10 Solved Problem 8
PDF
7.11 Solved Problem 9
PDF
7.12 Exercises
PDF
8. LU Decomposition Method
8.1 Introduction
PDF
8.2 LU Decomposition from Gauss Elimination
PDF
8.3 Solved Problem 1
Video
00:09:39
8.4 Solved Problem 2
Video
00:08:39
8.5 Solved Problem 3
PDF
8.6 Exercises
PDF
9. Consistency of Homogenous Linear Equations
9.1 Introduction
PDF
9.2 Working Rule for Finding the Solutions of the Equation AX=0
PDF
9.3 Solved Problem 1
Video
00:07:12
9.3 Quiz
Exercise
9.4 Solved Problem 2
Video
00:08:47
9.4 Quiz
Exercise
9.5 Solved Problem 3
PDF
9.6 Solved Problem 4
PDF
9.7 Exercises
PDF
10. Finding the current in electrical circuits
10.1 Introduction
PDF
10.2 Solved Problem 1
Video
00:12:12
10.3 Solved Problem 2
Video
00:09:15
10.4 Solved Problem 3
Video
00:10:35
10.5 Solved Problem 4
PDF
Course Instructor
Promath
910 Courses • 214091 Students
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