Algebra Course

Lecturer: Zhiyuan Liu

Refrence Book: Artin, Michael. Algebra, second edition

Content of Course:(Following Chapter 1,2,3,4,5,13 in Artin’s Book)

• Matrixs
• Groups
• Vector Space
• Linear Operators

Homework:

Homework 1

Lecture:

Lecture Video 1

Lecture 1 Notes: Matrix’s Definition, Gauss Elimination, Row Echelon Form and Reduced Row Echelon Form

Lecture Video 2

Lecture 2 Notes: Determination, Vector Space, Rank, Fundamental Spaces, Group, Dihedral Group, Cyclic Group, Group Homomophism, Lagrange Thm

Exercise 1 Video

Exercise 1 Notes