ABSTRACT

In 1990, the National Science Foundation recommended that every college mathematics curriculum should include a second course in linear algebra. In answer to this recommendation, Matrix Theory: From Generalized Inverses to Jordan Form provides the material for a second semester of linear algebra that probes introductory linear algebra concepts whil

chapter 1|40 pages

The Idea of Inverse

chapter 2|58 pages

Generating Invertible Matrices

chapter 3|56 pages

Subspaces Associated to Matrices

chapter 4|44 pages

The Moore-Penrose Inverse

chapter 5|34 pages

Generalized Inverses

chapter 6|24 pages

Norms

chapter 7|34 pages

Inner Products

chapter 8|38 pages

Projections

chapter 9|22 pages

Spectral Theory

chapter 10|38 pages

Matrix Diagonalization

chapter 11|42 pages

Jordan Canonical Form

chapter 12|28 pages

Multilinear Matters