Summary

Resources pertaining to GAtM are published on this website. They include the PDF versions of the textbook and answer key, individual chapters, and also simple web apps for students.

GAtM's source code can be found here. You are welcome to make an issue, or even a fork and pull request, if you identify an issue with the text; if you do clone it and run it on your computer, make sure to read the README to learn how to build it. GAtM is written with LaTeX, Asymptote, and Tikz.

Interactives are not finished. For now, here are a few links: It's A Snap and Rotation and Reflection Groups.

A Geometric Approach to Matrices

The full PDF for the textbook; chapters are provided for convenience. Keep in mind that these versions are continuously updated, and so may not match the print version.

Click here for the full textbook

Chapters:

1. Trigonometry Review
2. It's a Snap
3. From Snaps to Flips
4. Rotation and Reflection Groups
5. Infinite Groups
6. Geometry of Complex Numbers
7. Vitamin i
8. Matrix Multiplication
9. Mapping the Plane with Matrices
10. Rotations of the Plane
11. Matrices Generate Groups
12. Composite Mappings of the Plane
13. Inverses
14. Multiplication Modulo m Meets Groups
15. Eigenvectors and Eigenvalues
16. Composition of Functions

A Geometric Approach to Matrices (Answer Key)

This key contains answers to all of the problems in the textbook. Note that only the first five chapter PDFs have been completely updated to match the textbook; the full answer key and other chapters may contain answers to problems that do not exist.

Click here for the full answer key

Chapters:

1. Trigonometry Review
2. It's a Snap
3. From Snaps to Flips
4. Rotation and Reflection Groups
5. Infinite Groups
6. Geometry of Complex Numbers
7. Vitamin i
8. Matrix Multiplication
9. Mapping the Plane with Matrices
10. Rotations of the Plane
11. Matrices Generate Groups
12. Composite Mappings of the Plane
13. Inverses
14. Multiplication Modulo m Meets Groups
15. Eigenvectors and Eigenvalues