Algèbre 2(Vector Spaces, Linear Maps, Matrices)
الأستاذ: ن. بن بلقاسم
جميع الفيديوهات مشروحة باللغة العربية بأسلوب مبسّط وواضح لفهم التطبيقات الخطية بسهولة.
Vector Spaces, Linear Maps, Matrices, Change of Bases, and Linear Systems
سعر الدورة
1500 دج
اشترك في الدورة
Chapter 01 : Vector space
Lesson 01 – How to check if a set is a subspace
🔒 مغلق
Lesson 02 – Subspace or not: common mistakes to avoid
🔒 مغلق
Lesson 03 – Subspaces of polynomial spaces, simplified method
🔒 مغلق
Lesson 04 – Matrix subspaces explained quickly
🔒 مغلق
Lesson 05 – Three methods to check linear independence
🔒 مغلق
Lesson 06 – Linear independence with parameters
🔒 مغلق
Lesson 07 – Linear independence of polynomials
🔒 مغلق
Lesson 08 – Intersection of vector spaces, full method
🔒 مغلق
Lesson 09 – Sum of vector subspaces
🔒 مغلق
Lesson 10 – Supplementary subspaces explained simply
🔒 مغلق
Chapter 02 : Linear Maps
1. Linear Maps Basics
Lesson 01 – Key concepts for linear maps (part 1)
🔒 مغلق
Lesson 02 – Essential mathematical sets and structures
🔒 مغلق
2. Kernel, Image and Rank
Lesson 01 – Checking if a map is linear
🔒 مغلق
Lesson 02 – Kernel of a linear map: finding and understanding ker(f)
🔒 مغلق
Lesson 03 – Rank-nullity theorem: dim(V) = rank(f) + nullity(f)
🔒 مغلق
Lesson 04 – Image of a linear map, first method
🔒 مغلق
Lesson 05 – Image of a linear map, second method
🔒 مغلق
3. Exercises
Exercise 01 – ENSIA 2026
🔒 مغلق
Exercise 02 – ENSIA 2026
🔒 مغلق
Exercise 03 – University of Nice Sophia Antipolis
🔒 مغلق
Exercise 04 – University of Blida 01
🔒 مغلق
4. Tests and Exams
Test 01 – USTHB 2025
🔒 مغلق
Test 02 – Computer Science, USTHB 2025
🔒 مغلق
Test 03 – USTHB 2025
🔒 مغلق
Test 04 – Mathematics track
🔒 مغلق
Exam 01 – (09 pts) USTHB 2025
🔒 مغلق
Exam 02 – Computer Science, USTHB 2023
🔒 مغلق
Exam 03 – Resit exam, USTHB 2025
🔒 مغلق
Exam 04 – General exam, USTHB
🔒 مغلق
Exam 05 – Boumerdès
🔒 مغلق
Chapter 03 : Matrices (Les matrices)
1. Matrix Basics
Lesson 01 – Sum and difference of matrices, entry-wise
🔒 مغلق
Lesson 02 – Multiplying a matrix by a scalar
🔒 مغلق
Lesson 03 – Matrix multiplication: product and properties
🔒 مغلق
Lesson 04 – Matrix transpose
🔒 مغلق
Lesson 05 – Trace of a matrix: sum of diagonal elements
🔒 مغلق
2. Advanced Matrix Tools
Lesson 01 – Row reduction to echelon form
🔒 مغلق
Lesson 02 – Matrix power
🔒 مغلق
Lesson 03 – Matrix power, second example
🔒 مغلق
Lesson 04 – Matrix power, correction test USTHB 2026
🔒 مغلق
3. Determinants
Lesson 01 – Determinant of a 2×2 matrix
🔒 مغلق
Lesson 02 – Determinant of a 3×3 matrix
🔒 مغلق
Lesson 03 – Determinant of a 3×3 matrix, exercise
🔒 مغلق
Lesson 04 – Sarrus method, 3×3 determinant
🔒 مغلق
4. Matrix Inverse
Lesson 01 – Cofactor method for the inverse of a matrix
🔒 مغلق
Lesson 02 – Gaussian elimination method for the inverse of a matrix
🔒 مغلق
Lesson 03 – Annihilating polynomial method for the inverse of a matrix
🔒 مغلق
5. Matrix Exercises and Tests
Exercise 01 – Matrix operations, ENSIA
🔒 مغلق
Exercise 02 – Matrix operations, USTHB
🔒 مغلق
Exercise 03 – Matrix operations, USTHB
🔒 مغلق
Test 01 – USTHB, full correction
🔒 مغلق
6. Change of basis
Lesson 01 – Change of basis: matrix representation, correction test USTHB 2026
🔒 مغلق
Lesson 02 – Passage matrix, correction test USTHB 2026
🔒 مغلق
Chapter 04 : Linear Systems
1. Linear Systems Methods
Lesson 01 – Solving by Gaussian elimination (method 1)
🔒 مغلق
Lesson 02 – Solving using Cramer's rule (method 2)
🔒 مغلق
Lesson 03 – Solving using the inverse matrix method (method 3)
🔒 مغلق
2. Linear Systems with Parameters
Lesson 01 – Linear systems with real parameters
🔒 مغلق
3. Exams and Full Corrections
Exam 01 – Linear systems with parameters, full correction
🔒 مغلق
Exam 02 – Matrices and linear systems with parameters, full correction
🔒 مغلق