Table of Contents
Here is the Complete List of Linear Algebra Course:
Lesson 1: Matrix Basic Operation
Lesson 2: Properties of determinant with example
https://www.youtube.com/watch?v=Xl1FV6EVIQE&list=PLacdleb4rX6-ROG5FT-ijn74jRtrszIU4&index=40&pp=gAQBiAQB
Lesson 3: Nodal Incident matrices for networks
Lesson 4: Solving system of linear equations using Gauss Elimination
https://www.youtube.com/watch?v=Q_NHw_RZsZs&list=PLacdleb4rX6-ROG5FT-ijn74jRtrszIU4&index=7&pp=gAQBiAQB
Lesson 5: Cramers Rule for 2 by 2 and 3 by 3 matrices
- https://www.youtube.com/watch?v=4uh9BTHZzqI&list=PLacdleb4rX6-ROG5FT-ijn74jRtrszIU4&index=39&pp=gAQBiAQB
- https://www.youtube.com/watch?v=_ADfLjgKRDw&list=PLacdleb4rX6-ROG5FT-ijn74jRtrszIU4&index=38&pp=gAQBiAQB
Lesson 5: Adjoint of 3 by 3 matrices
Lesson 6: Inverse of a matrix
Lesson 7: Linearly Dependent Vectors
Lesson 8: Linearly Independent Vectors Example
- https://www.youtube.com/watch?v=tF-WSYCZjSA&list=PLacdleb4rX6-ROG5FT-ijn74jRtrszIU4&index=42&pp=gAQBiAQB
- https://www.youtube.com/watch?v=PtRF6ZCqHWg&list=PLacdleb4rX6-ROG5FT-ijn74jRtrszIU4&index=9&pp=gAQBiAQB
Lesson 9: Eigen Values and Eigen Vectors
- https://www.youtube.com/watch?v=P5rBQc5v2G8&list=PLacdleb4rX6-ROG5FT-ijn74jRtrszIU4&index=8&pp=gAQBiAQB
- https://www.youtube.com/watch?v=KQAQ76hv3dw&list=PLacdleb4rX6-ROG5FT-ijn74jRtrszIU4&index=3&pp=gAQBiAQB
Lesson 10: Eigen Values of Similar Matrices
Lesson 11: Similar Matrices transformation
Lesson 12: Linear Transformation
Lesson 13: Example of Linear Transformation
Lesson 14:Example of Non-Linear Transformation
https://www.youtube.com/watch?v=0ZDwTsB_81o&list=PLacdleb4rX6-ROG5FT-ijn74jRtrszIU4&index=45&pp=gAQBiAQB
Lesson 15: Projection of a Vector onto another Vector
Lesson 16: Gram Schmidt Procedure
- https://www.youtube.com/watch?v=gHTzKwbab2w&list=PLacdleb4rX6-ROG5FT-ijn74jRtrszIU4&index=28&pp=gAQBiAQB
- https://www.youtube.com/watch?v=Q2sssscrGgQ&list=PLacdleb4rX6-ROG5FT-ijn74jRtrszIU4&index=29&pp=gAQBiAQB
Lesson 17: How to Express a Matrix as a Product of its Elementary Matrices
https://www.youtube.com/watch?v=viaExwMfraI&list=PLacdleb4rX6-ROG5FT-ijn74jRtrszIU4&index=30&pp=gAQBiAQB
Lesson 18: Introduction to Vector Space
https://www.youtube.com/watch?v=5nSZMyZFx90&list=PLacdleb4rX6-ROG5FT-ijn74jRtrszIU4&index=10&pp=gAQBiAQB https://www.youtube.com/watch?v=I8EpdLToVps&list=PLacdleb4rX6-ROG5FT-ijn74jRtrszIU4&index=11&pp=gAQBiAQB
Lesson 19: Span of a Vector Space
Lesson 20: Row Space, Column Space and Null Space
- https://www.youtube.com/watch?v=3CMlUtlJ7xY&list=PLacdleb4rX6-ROG5FT-ijn74jRtrszIU4&index=20&pp=gAQBiAQB
- https://www.youtube.com/watch?v=1ckjFQFwhSU&list=PLacdleb4rX6-ROG5FT-ijn74jRtrszIU4&index=21&pp=gAQBiAQB
Lesson 21: Diagonalization of a Matrix
- https://www.youtube.com/watch?v=ytF-gjmMG_k&list=PLacdleb4rX6-ROG5FT-ijn74jRtrszIU4&index=23&pp=gAQBiAQB
- https://www.youtube.com/watch?v=P45c4VAbQ2s&list=PLacdleb4rX6-ROG5FT-ijn74jRtrszIU4&index=25&pp=gAQBiAQB
- https://www.youtube.com/watch?v=ci4cZTBCnIs&list=PLacdleb4rX6-ROG5FT-ijn74jRtrszIU4&index=24&pp=gAQBiAQB