Chapter 4 Matrix Decompositions

Matrices provide a compact way to represent linear mappings and data, where rows often correspond to observations and columns correspond to features. This chapter focuses on three central questions about matrices:

  1. How to summarize a matrix with key numerical characteristics.
  2. How to decompose a matrix into simpler, interpretable components.
  3. How to use these decompositions for approximations and analysis.

A mind map of the concepts introduced in this chapter, along with where they are used in other parts of the book.