CS 4342/6342: Linear Algebra: A Computational Introduction

Module 1: Introduction

Module 2: Preliminaries

Module 3: Vectors, Matrices, and the Matrix-Vector Equation

Module 4: Matrices and Geometry

Module 5: Solving Equations

Module 6: Theory, Part I

Module 7: Orthogonality

Module 8: Theory, Part II

Review

Module 9: Linear Combinations of Other Objects, Part I (Bezier curves)

Module 10: Linear Combinations of Other Objects, Part II (Fourier series)

Module 11: Eigenworld, Part I (definitions, power-method, page rank)

Module 12: Eigenworld, Part II (symmetric matrices, spectral theorem, PCA)

Module 13: Singular Value Decomposition

Summary

Supplemental material: change-of-basis