Teaching Videos and Lecture Notes for Linear Algebra

The following presents my real-time teaching videos of Linear Algebra for Department of Computer Science and Department of Electronic Engineering at Sun Yat-sen University. The book we use is the Linear Algebra and Its Applications (Third Edition). The purpose of collecting these videos is partially for students who need to review after class, and it is free for the other use. All videos will be continuously updated. Any comments are welcome and please write me at zhwshi@mail.sysu.edu.cn.

以下是本人在中山大学面向计算机系和电子系本科生一年级所开设的《线性代数》课程的实时教数学视频。我们采用的课本是 《线性代数及其应用》。采集这些教学视频的目的之一是供学生课后复习,而这些视频对于其它用途是免费的。这些视频都是原 始的课堂视频,因此有部分还不理想,后面会不断地更新它们。如果您对这些视频有任何意见和建议,请给我来信,来信请寄

zhwshi@mail.sysu.edu.cn。

The Teaching Language is Chinese in the videos.
教学视频中的语言是中文。
book we use
 

Please download the teaching videos if necessary by clicking the "Link".
[下述链接中,没有标注为2020的,要么已经用2020年拍摄的实际教学视频替换,要么仍然是以前的较好版本;当两个Link存在时候,表 示尚未决定是否用2020版替换,也许你能看到时间的变化, ......]
Teaching Unit
课程单元 Link to Download(下载链接)
Linear Equations
线性方程组
Link
Row Reduction Algorithm
行简化算法
Link
Vector Equation
向量方程
Link
Matrix Equation
矩阵方程
Link    Link (2020 version)
Solution Set
方程组解集 Link    Link (2020 version)
Linearly Independent
线性独立
Link
Linear Transformation
线性变换
Link    Link (2020 version)
Matrix Computation-I
矩阵计算-I
Link    Link (2020 version)
Matrix Computation-II
矩阵计算-II
Link    Link (2020 version)
Matrix Partition & Matrix Factorization-I
矩阵分块与矩阵分解-I
Link
Matrix Partition & Matrix Factorization-II 矩阵分块与矩阵分解-II Link    Link (2020 version)
Determinant-I
行列式-I
Link    Link (2020 version)
Determinant-II
行列式-II
Link    Link (2020 version)
Determinant-III
行列式-III
Link    Link (2020 version)
Vector Space-I
向量空间-I
Link    Link (2020 version)
Vector Space-II
向量空间-II
Link    Link (2020 version)
Dimension of Vector Space
向量空间维度
Link    Link (2020 version)
Rank of Matrix
矩阵秩
Link
Change of Basis
基变换
Link    Link (2020 version)
Eigenvector&Eigenvalue-I
特征向量与特征值-I
Link
Eigenvector&Eigenvalue-II 特征向量与特征值-II Link
Eigenvector&Eigenvalue-III 特征向量与特征值-III Link
Inner Product-I
内积-I
Link
Inner Product-II 内积-II Link
Least Squares&Gram Schmid
最小二乘法与正交化
Link
QR Decomposition
QR分解
Link
Symmetric Matrix
对称矩阵
Link
Quadratic Form
二次型
Link
Singular Value Decomposition
奇异值分解
Link


Lecture Notes of Linear Algebra

Lecture 1.

Lecture 2

Lecture 3

Lecture 4

Lecture 5

Lecture 6

Lecture 7

Lecture 8

Lecture 9

Lecture 10

Lecture 11

Lecture 12

Lecture 13

Lecture 14

Lecture 15

Lecture 16

Lecture 17

Lecture 18

Lecture 19

Lecture 20

多项式I 多 项式II

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