ABSTRACT

Through many examples and real-world applications, Practical Linear Algebra: A Geometry Toolbox, Third Edition teaches undergraduate-level linear algebra in a comprehensive, geometric, and algorithmic way. Designed for a one-semester linear algebra course at the undergraduate level, the book gives instructors the option of tailoring the course for

chapter 1|14 pages

Descartes’ Discovery 1 Chapter

chapter 2|22 pages

Eigen Things Revisited 323 Chapter

chapter 3|24 pages

Lining Up: 2D Lines

chapter 4|34 pages

Changing Shapes: Linear Maps in 2D

chapter 5|24 pages

2 × 2 Linear Systems

chapter 6|16 pages

Moving Things Around: Affine Maps in 2D

chapter 7|22 pages

Eigen Things

chapter 8|20 pages

3D Geometry

chapter 9|30 pages

Linear Maps in 3D

chapter 10|18 pages

Affine Maps in 3D

chapter 11|18 pages

Interactions in 3D

chapter 12|34 pages

Gauss for Linear Systems

chapter 13|26 pages

Alternative System Solvers

chapter 14|20 pages

General Linear Spaces

chapter 15|20 pages

Eigen Things Revisited

chapter 16|24 pages

The Singular Value Decomposition

chapter 17|14 pages

Breaking It Up: Triangles

chapter 19|12 pages

Conics

chapter 20|18 pages

Curves