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Syllabus
Instructor: Yu Yi Email: yuyi2019@pku.edu.cn
Textbook: Introduction to Linear Algebra, Fifth Edition (2016)
Textbook open resource: http://math.mit.edu/~gs/linearalgebra/
All my lecture note is created by markdown editor Typora. I prefer you to download it from: https://typora.io/. This a simple but powerful editor helps you type in mathematics symbols and also you can use this to check my original files.
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Part I
Lecture 1 Introduction of Linear Algebra
Lecture 2 Linear Equation
Lecture 3 Rules for Matrix Operation
Lecture 4 Gauss-Jordan Elimination and Factorization
Lecture 5 Vector Space
Lecture 6 Four subspaces of a matrix
Lecture 7 Orthogonality
Lecture 8 Determinants
Lecture 9 Basis (4.4, 5.3)
Part II
Lecture 10 Eigenvalue and Eigenvector
Lecture 11 Symmetric Matrix
Lecture 12 Positive Definite Matrix
Lecture 13 Simillar Matrix
Lecture 14 Jordan Form
Lecture 15 Linear Transformation (I)
Lecture 16 Linear Transformation (II)
Part III
Lecture 17 Complex vectors and Matrix(Shur Theorem P335)
Lecture 18 Markov Matrix
Lecture 19 Differential Equation
Lecture 20 High Dimensional Calculus
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