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Linear Algebra

Course notes

Ideas, explanations, and examples for returning to the subject.

  1. Linear Algebraic Methods
  2. #1. Fibonacci Numbers, Quickly
  3. #2. Fibonacci Numbers, the Formula
  4. #3. The Clubs of Oddtown
  5. #4. Same-Size Intersections
  6. #5. Error-Correcting Codes
  7. #6. Odd Distances
  8. #7. Are These Distances Euclidean?
  9. #8. Packing Complete Bipartite Graphs
  10. #9. Equiangular Lines
  11. #10. Where is the Triangle?
  12. #11. Checking Matrix Multiplication
  13. #12. Tiling a Rectangle by Squares
  14. #13. Three Petersens Are Not Enough
  15. #14. Petersen, Hoffman–Singleton, and Maybe 57
  16. #15. Only Two Distances
  17. #16. Covering a Cube Minus One Vertex
  18. #17. Medium-Size Intersection Is Hard To Avoid
  19. #18. On the Difficulty of Reducing the Diameter
  20. #19. The End of the Small Coins
  21. #20. Walking in the Yard
  22. #21. Counting Spanning Trees
  23. #22. In How Many Ways Can a Man Tile a Board?
  24. #23. More Bricks—More Walls?
  25. #24. Perfect Matchings and Determinants
  26. #25. Turning a Ladder Over a Finite Field
  27. #26. Counting Compositions
  28. #27. Is It Associative?
  29. #30. Equilateral Sets