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Linear Algebra / 线性代数
Explore vectors, matrices, and linear transformations. Build a strong foundation for advanced mathematics and applications.
Course Content / 课程内容
1
Vectors and Matrices / 向量与矩阵
10 lessons
Start提取码：bm7u
Vector Operations
Matrix Operations
Transpose
Special Matrices
2
Systems of Linear Equations / 线性方程组
8 lessons
Start提取码：bm7u
Gaussian Elimination
Row Echelon Form
Homogeneous Systems
3
Determinants / 行列式
6 lessons
Start提取码：bm7u
Definition
Properties
Cramer's Rule
4
Vector Spaces / 向量空间
12 lessons
Start提取码：bm7u
Subspaces
Basis and Dimension
Rank and Nullity
5
Eigenvalues and Eigenvectors / 特征值与特征向量
10 lessons
Start提取码：bm7u
Eigenvalue Problem
Diagonalization
Applications
6
Linear Transformations / 线性变换
8 lessons
Start提取码：bm7u
Definition
Kernel and Range
Matrix Representation
Course Resources / 课程资源
Lecture Notes
Download comprehensive notes for all chapters
Practice Problems
Extensive problem sets with solutions
Video Tutorials
Watch detailed video explanations