Linear Systems
- Solving Linear Systems
- Linear Geometry
- Reduced Echelon Form
- Topic: Computer Algebra Systems
- Topic: Input-Output Analysis
- Topic: Accuracy of Computations
- Topic: Analyzing Networks
Vector Spaces
- Definition of Vector Space
- Linear Independence
- Basis and Dimension
- Topic: Fields
- Topic: Crystals
- Topic: Voting Paradoxes
- Topic: Dimensional Analysis
Maps Between Spaces
- Isomorphisms
- Homomorphisms
- Computing Linear Maps
- Matrix Operations
- Change of Basis
- Projection
- Topic: Line of Best Fit
- Topic: Geometry of Linear Maps
- Topic: Magic Squares
- Topic: Markov Chains
- Topic: Orthonormal Matrices
Determinants
- Definition
- Geometry of Determinants
- Laplace’s Formula
- Topic: Cramer’s Rule
- Topic: Speed of Calculating Determinants
- Topic: Chiò’s Method
- Topic: Projective Geometry
- Topic: Computer Graphics
Similarity
- Complex Vector Spaces
- Similarity
- Nilpotence
- Jordan Form
- Topic: Method of Powers
- Topic: Stable Populations
- Topic: Page Ranking
- Topic: Linear Recurrences
- Topic: Coupled Oscillators
Appendix
- Statements
- Quantifiers
- Techniques of Proof
- Sets, Functions, and Relations
Linear Algebra.
Jim Hefferon.
joshua.smcvt.edu .
2020.