Teaching Videos and Lecture Notes for Linear
Algebra
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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. |
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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；2023年补充了多项式教学视频，但应该2024年会进一步拍摄改善；预计2025年能上线性代数第八章几何方面的视频；^_^ 也许你能看到时间的变化......]
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Teaching Unit |
课程单元 |
Link to Download（下载链接） |
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Linear Equations |
线性方程组 |
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Row Reduction Algorithm |
行简化算法 |
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Vector Equation |
向量方程 |
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Matrix Equation |
矩阵方程 |
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Solution Set |
方程组解集 |
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Linearly Independent |
线性独立 |
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Linear Transformation |
线性变换 |
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Matrix Computation-I |
矩阵计算-I |
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Matrix Computation-II |
矩阵计算-II |
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Matrix Partition &
Matrix Factorization-I |
矩阵分块与矩阵分解-I |
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Matrix Partition &
Matrix Factorization-II |
矩阵分块与矩阵分解-II |
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Determinant-I |
行列式-I |
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Determinant-II |
行列式-II |
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Determinant-III |
行列式-III |
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Vector Space-I |
向量空间-I |
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Vector Space-II |
向量空间-II |
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Dimension of Vector Space |
向量空间维度 |
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Rank of Matrix |
矩阵秩 |
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Change of Basis |
基变换 |
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Eigenvector&Eigenvalue-I |
特征向量与特征值-I |
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Eigenvector&Eigenvalue-II |
特征向量与特征值-II |
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Eigenvector&Eigenvalue-III |
特征向量与特征值-III |
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Inner Product-I |
内积-I |
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Inner Product-II |
内积-II |
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Least Squares&Gram
Schmid |
最小二乘法与正交化 |
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QR Decomposition |
QR分解 |
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Symmetric Matrix |
对称矩阵 |
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Orthogonal Diagonalization |
正交对角化 |
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Quadratic Form |
二次型 |
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Singular Value Decomposition |
奇异值分解 |
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Polynomial-I |
多项式-I |
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Polynomial-II |
多项式-II |
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Polynomial-IiI |
多项式-III |
Lecture
Notes of Linear Algebra