# Thirty-three Miniatures: Mathematical and Algorithmic Applications of Linear Algebra

### About this Title

**Jiří Matoušek**, *Charles University, Prague, Czech Republic*

Publication: The Student Mathematical Library

Publication Year
2010: Volume 53

ISBNs: 978-0-8218-4977-4 (print); 978-1-4704-1636-2 (online)

DOI: http://dx.doi.org/10.1090/stml/053

MathSciNet review: MR2656313

MSC: Primary 15-01; Secondary 05A10, 05C70

### Table of Contents

**Front/Back Matter**

**Chapters**

- Miniature 1. Fibonacci numbers, quickly
- Miniature 2. Fibonacci numbers, the formula
- Miniature 3. The clubs of Oddtown
- Miniature 4. Same-size intersections
- Miniature 5. Error-correcting codes
- Miniature 6. Odd distances
- Miniature 7. Are these distances Euclidean?
- Miniature 8. Packing complete bipartite graphs
- Miniature 9. Equiangular lines
- Miniature 10. Where is the triangle?
- Miniature 11. Checking matrix multiplication
- Miniature 12. Tiling a rectangle by squares
- Miniature 13. Three Petersens are not enough
- Miniature 14. Petersen, Hoffman–Singleton, and maybe 57
- Miniature 15. Only two distances
- Miniature 16. Covering a cube minus one vertex
- Miniature 17. Medium-size intersection is hard to avoid
- Miniature 18. On the difficulty of reducing the diameter
- Miniature 19. The end of the small coins
- Miniature 20. Walking in the yard
- Miniature 21. Counting spanning trees
- Miniature 22. In how many ways can a man tile a board?
- Miniature 23. More bricks—more walls?
- Miniature 24. Perfect matchings and determinants
- Miniature 25. Turning a ladder over a finite field
- Miniature 26. Counting compositions
- Miniature 27. Is it associative?
- Miniature 28. The secret agent and umbrella
- Miniature 29. Shannon capacity of the union: A tale of two fields
- Miniature 30. Equilateral sets
- Miniature 31. Cutting cheaply using eigenvectors
- Miniature 32. Rotating the cube
- Miniature 33. Set pairs and exterior products