Math 208: Applications of Linear Algebra

These applications are provided to enrich your lectures. The idea is to give the students a sense of the wide variety of uses for linear algebra. It is not necessary to give every detail, unless you want to. In particular, you could talk about an application before you had introduced all the necessary algebra.

PDF file Topics Used
Linear Programming Solving Linear Systems
Geometry of Linear Systems
Markov Chains Linear Systems
Iterated Matrix Multiplication
Cryptography Linear Systems
Matrix Inverse
Linear Transformations
Modular Arithmetic (Here is an Introduction to Modular Arithmetic).
Perfect Matchings Determinants
Google Page Rank Linear Systems
Eigenvalues and Eigenvectors
Iterated Matrix Multiplication
Spanning Trees Determinants
Eigenvalues and Eigenvectors
Clustering Eigenvalues and Eigenvectors