Linear Algebra (MATH 241)

Matrices, matrix operations, solving system of linear equations, vectors operations, basis and sub-basis, linear transformations, eigenvalues.

Total Lessonses 39 Total hours : 14:38:57 Duration Of Course 17 weeks
  • About the Course :

    By taking this course, you will be able to understand the basic concepts in linear algebra, such as matrices, operations on them, determinants, and methods for calculating them, as well as systems of linear equations and methods for solving them, then introducing the concept of vector spaces and topics related to it, such as subspace, linear composition, linear transformation, independence, and linear correlation, eigenvalues, then the concept of basis and dimension, as well as the order of the matrix, and introducing the concept of vector coordinates.



  • You Will Learn :

    Introduction to Matrix, Matrix Operations, Cramer’s Rule, Inverse Matrix, Diagonalization of Matrix, Adjoint Matrices, Gauss Jordon Elimination, Rank and Matrix Inverse, Areas of Triangle Using Determinants, Revision Chapter 1, Vector Spaces, Dot Product, Norm, Angle, The Angle between Two Vectors and Cross, Orthogonal Vector and Product, Subspaces, Subspaces of Vector Space, General Vector Spaces, Angles and Orthogonal, Basis and Dimensions, Inner Product in Complex Numbers, Length and Dot Product in Rn, Coordinates and Change of Basis, Introduction to Linear Transformations, The Kernel and Range of a Linear Transformation, Least Square Solution, Transition Matrices and Similarity, Eigenvalues and Eigenvectors, Minor and Cofactors.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : Linear Algebra (MATH 241)
    * University Name : King Abdulaziz University



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Total Lessonses 39 Total Hours 14:38:57 Duration Of Course 17 weeks
Introduction to Matrix
1 Lessons 0:15:13
Introduction to Matrix
0:15:13
Show
Recorded Session
Matrix Operations
2 Lessons 1:13:17
Matrix Operations Part 1
0:26:59
Show
Recorded Session
Matrix Operations Part 2
0:46:48
Show
Recorded Session
Cramer’s Rule
1 Lessons 0:32:01
Cramer’s Rule
0:32:01
Closed
Recorded Session
Inverse Matrix
1 Lessons 0:36:42
Inverse Matrix
0:36:42
Closed
Recorded Session
Diagnalization of Matrix
3 Lessons 0:43:38
Diagnalization of Matrix part 1
0:09:53
Closed
Recorded Session
Diagnalization of Matrix part 2
0:14:14
Closed
Recorded Session
Diagnalization of Matrix part 3
0:19:31
Closed
Recorded Session
Adjoint Matrices
1 Lessons 0:10:46
Adjoint Matrices
0:10:46
Closed
Recorded Session
Gauss Jordon Elimination
1 Lessons 0:22:36
Gauss Jordon Elimination
0:22:26
Closed
Recorded Session
Rank and Matrix Inverse
1 Lessons 0:17:24
Rank and Matrix Inverse
0:17:24
Closed
Recorded Session
Areas of Triangle Using Determinants
1 Lessons 0:12:30
Areas of Triangle Using Determinants
0:12:30
Closed
Recorded Session
Revision chapter 1
1 Lessons 0:17:14
Revision chapter 1
0:17:14
Closed
Recorded Session
Vector Spaces
2 Lessons 0:30:40
Vector Spaces Part 1
0:14:56
Closed
Recorded Session
Vector Spaces Part 2
0:15:50
Closed
Recorded Session
Dot Product, Norm, Angle
1 Lessons 0:19:25
Dot Product, Norm, Angle
0:19:25
Closed
Recorded Session
The Angle between Two Vectors and Cross
1 Lessons 0:23:35
The Angle between Two Vectors and Cross
0:23:35
Closed
Recorded Session
Orthogonal vector and product
1 Lessons 0:15:45
Orthogonal Vector and Product
0:15:45
Closed
Recorded Session
SubSpaces
1 Lessons 0:13:38
SubSpaces
0:13:38
Closed
Recorded Session
Subspaces of Vector Space
1 Lessons 0:17:33
Subspaces of Vector Space
0:17:33
Closed
Recorded Session
General Vector Spaces
1 Lessons 0:16:23
General Vector Spaces
0:16:23
Closed
Recorded Session
Angles and Orthogonal
1 Lessons 0:29:24
Angles and Orthogonal
0:29:24
Closed
Recorded Session
Basis and Dimensions
2 Lessons 0:32:54
Basis and Dimensions Part 1
0:19:56
Closed
Recorded Session
Basis and Dimensions Part 2
0:12:58
Closed
Recorded Session
Inner Product in complex numbers
2 Lessons 0:47:32
Inner Product in complex numbers Part 1
0:23:38
Closed
Recorded Session
Inner Product in complex numbers Part 2
0:23:54
Closed
Recorded Session
Length and Dot Product in Rn
1 Lessons 0:15:13
Length and Dot Product in Rn
0:15:13
Closed
Recorded Session
Coordinates and Change of Basis
2 Lessons 0:31:12
Coordinates Vector
0:18:48
Closed
Recorded Session
Change of Basis
0:12:24
Closed
Recorded Session
Introduction to Linear Transformations
3 Lessons 1:01:12
Linear Transformation 1
0:27:08
Closed
Recorded Session
Linearly Independent Part 2
0:21:12
Closed
Recorded Session
Linear dependent and Linear Independent Part 3
0:12:52
Closed
Recorded Session
The Kernel and Range of a Linear Transformation
1 Lessons 0:16:29
The Kernel and Range of a Linear Transformation
0:16:29
Closed
Recorded Session
Least Square Solution
1 Lessons 0:13:52
Least Square Solution
0:13:52
Closed
Recorded Session
Transition Matrices and Similarity
2 Lessons 0:33:08
Similarity
0:21:10
Closed
Recorded Session
Similarity and Transition Matrices
0:11:58
Closed
Recorded Session
Eigenvalues and Eigenvectors
2 Lessons 0:39:18
Eigenvalues and Eigenvectors Part 1
0:17:30
Closed
Recorded Session
Eigenvalues and Eigenvectors Part 2
0:21:48
Closed
Recorded Session
Minor and Cofactors
1 Lessons 0:28:18
Minor and Cofactors
0:28:18
Closed
Recorded Session
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Speciality : Mathematics

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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job