Course Schedule

week topics materials
planned done
1 Introduction to linear algebra
- Vectors
  p01
2 Systems of linear equations
- Solving systems of linear equations
- Gaussian elimination
  p02
3 Systems of linear equations
- Gaussian elimination
- Spanning sets and linear independence
   
4 Matrices
- Matrix operations
- Inverse matrices
   
5 Matrices
- Inverse matrices
- (LU factorization)
  p03
6 Matrices
- Subspaces, dimensions, and rank
- Linear transformations
   
7 Midterm exam    
8 Eigenvalues and eigenvectors
- Determinants
   
9 Eigenvalues and eigenvectors
- Determinants
- Similarity and diagonalization
   
10 Eigenvalues and eigenvectors
- Similarity and diagonalization
   
11 Orthogonality
- QR factorization
   
12 Make-up week    
13 Distance and approximation
- Least square approximation
   
14 Distance and approximation
- Least square approximation
   
15 Advanced linear algebra    
16 Final exam