Refresher Course: Basic Linear Algebra
Table of Contents
This course reviews relevant material in linear algebra aimed at first year students of the Master of Data Science program at the University of Luxembourg.
Reviewed Topics #
- Vector Spaces, Linear Maps, Matrix Representation, Rank-Nullity theorem
- Eigenvalue Problems, Diagonalization, Jordan Decomposition
- Inner Product Spaces, QR Decomposition, Least Squares Method, Spectral Theorem
- Normed Vector Spaces, Matrix Norms
- Singular Values Decomposition, Principal Component Analysis