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- Lecture 1: Vectors and Vector Spaces
- Lecture 2: The Geometry of Vectors
- Lecture 3: Matrices and Matrix Algebra
- Lecture 4: Matrices and Matrix Algebra, Cont'd
- Lecture 5: Solving Linear Equations
- Lecture 6: Inverses of Matrices
- Lecture 7: Subspaces of
**R**^{n} - Lecture 8: Review Session
- Lecture 9: Linear Independence and Dimension
- Lecture 10: The Rank of a Matrix
- Lecture 11: Linear Transformations and Matrices
- Lecture 12: Abstract Vector Spaces and Concrete Examples
- Lecture 13: Determinants
- Lecture 14: Review Session
- Lecture 15: Eigenvalues and Eigenvectors
- Lecture 16: Diagonalization