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Linear Algebra ( MATH 3041)

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Linear Algebra ( MATH 3041)

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

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Total Lessonses 24 Total hours : 8:54:55 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 Algebra, Matrix Operations and Matrix Factorizations, Inverse of a Matrix, Cramer's Rule and Solution Sets of Linear Systems, Row Reduction and Echelon Forms, Linear Transformations, Revision, Areas of Triangle Using Determinants, Subspaces of the Euclidean N-Space, Dimension and Rank, Determinants, Vectors, Dot Product, Norm, Angle, Diagonalization and Inner Product, Length and Orthogonality, Inner Product in Complex Numbers, Eigenvalues and Eigenvectors.
Target Group :

*Academic Level : Academic University Student
* Speciality : Mathematics
* Material : Linear Algebra ( MATH 3041)
* University Name : Islamic University of Madinah
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Total Lessonses 24 Total Hours 8:54:55 Duration Of Course 17 weeks

Introduction to Matrix

1 Lessons

0:15:13

Introduction to Matrix
0:15:13

Show

Recorded Session

Matrix Algebra ,Matrix Operations and Matrix Factorizations

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

Inverse of a Matrix

1 Lessons

0:36:42

Inverse Matrix
0:36:42

Closed

Recorded Session

Cramer's Rule and Solution Sets of Linear Systems

2 Lessons

0:32:01

Cramer’s Rule
0:32:01

Closed

Recorded Session

Gauss Jordon Elimination
0:22:36

Closed

Recorded Session

Row Reduction and Echelon Forms

0 Lesson

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Linear Transformations

3 Lessons

1:01:12

Linear Transformation Part 1
0:27:08

Closed

Recorded Session

Linear Transformation Part 2
0:12:52

Closed

Recorded Session

Linear Transformation Part 3
0:21:12

Closed

Recorded Session

Areas of Triangle Using Determinants

1 Lessons