Introduction to Linear Algebra
Syllabus:
- Vectors, Matrices and their Operations
- Linear Systems, Gaussian Elimination and the LU Factorization
- Subspaces, Bases and Dimension
- Least Squares Problems and Linear Regression
- Orthonormal Bases and the QR Factorization
- Eigenvalue Problems
- Singular Value Decomposition
Homework
- Homework 1: Matrix-Vector Operations
- Homework 2: Elimination and Inverses
- Homework 3: Elimination using Matrices and the LU Factorization
- Homework 4: Subspaces
Midterm Exams
- Midterm 1
- Midterm 2
- Midterm 3
Matrix Operations, Elimination, LU Factorization, Subspaces
Jupyter Notebooks
- Notebook 1: Introduction to NumPy