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" Linear Algebra (MATH 204) "

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Linear Algebra (MATH 204)

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

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إجمالي المحاضرات 47 إجمالي الساعات 17:27:87 مدة الدورة 17 أسبوع

نبذة عن المقرر :

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.
ماذا ستتعلم :

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, 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, Region of Unique Solutions, Integrations and Some Integration Rules, Separable Differential Equations, Homogeneous Differential Equations, Exact Solution of Differential Equations, Non-Exact Differential Equations, Linear Differential Equation, Bernoulli’s Differential Equations, Dependent and Independent Functions, Homogeneous High Differential Equation, Linear Combinations, Eigenvalues and Eigenvectors, Least Square Solution, Linear Transformation, Minor and Cofactors, Naive Gauss Elimination.
الفئة المستهدفة :

* المرحلة الجامعية
* الاختصاص : الرياضيات
* المادة : Linear Algebra (MATH 204)
* اسم الجامعة : جامعة الأمير مقرن بن عبدالعزيز
الدورات المقترحة :

معدل الإنجاز

مهام الطالب

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إجمالي المحاضرات 47 إجمالي الساعات 17:27:87 مدة الدورة 17 أسبوع

Introduction to Matrix

1 دروس

0:15:13

Introduction to Matrix
0:15:13

عرض

حصة مسجلة

Matrix Operations

2 دروس

1:13:17

Matrix Operations Part 1
0:26:29

عرض

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Matrix Operations Part 2
0:46:48

عرض

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Cramer’s Rule

1 دروس

0:32:01

Cramer’s Rule
0:32:01

مغلقة

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Inverse Matrix

1 دروس

0:36:42

Inverse Matrix
0:36:42

مغلقة

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Diagnalization of Matrix

3 دروس

0:43:38

Diagonal Matrix Part 1
0:09:53

مغلقة

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Diagonal Matrix Part 2
0:14:14

مغلقة

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Diagonal Matrix Part 3
0:19:31

مغلقة

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Adjoint Matrices

1 دروس