Lecture Notes
- Lecture 1 – Introduction
- Lecture 2 – The Algebra of Matrices
- Lecture 3 – Gaussian Elimination
- Lecture 4 – Homogeneous Equations
- Lecture 5 – Matrix Multiplication
- Lecture 6 – Matrix Products: Applications
- Lecture 7 – Matrix Inverses
- Lecture 8 – Inverses and Elementary Matrices
- Lecture 9 – Markov Chains
- Lecture 10 – Determinants
- Lecture 11 – Determinants: Properties
- Lecture 12 – Adjoints
- Lecture 13 – The Eigenvalue Problem
- Lecture 14 – Diagonalization
- Lecture 15 – Similar Matrices and Complex Numbers
- Lecture 16 – Complex Eigenvalues
- Lecture 17 – Linear Recurrences
- Lecture 18 – Vectors
- Lecture 19 – Dot Products
- Lecture 20 – Projections
- Lecture 21 – Lines
- Lecture 22 – Planes
- Lecture 23 – Linear Transformations
- Lecture 24 – The Cross Product
- Lecture 25 – Subspaces
- Lecture 26 – Linear Independence
- Lecture 27 – Bases
- Lecture 28 – Dimension
- Lecture 29 – Rank
- Lecture 30 – Full Rank
- Lecture 31 – Orthogonality
- Lecture 32 – The Gram-Schmidt Algorithm