Finding Eigenvalues and Eigenvectors

A quick explainer for Linear Algebra (MIT 18.06) by Professor Dave Explains. 17 min. Watch on YouTube

Course: Linear Algebra (MIT 18.06) (Mathematics). Covers: matrices vectors eigenvalues eigenvectors determinants vector spaces null space rank svd least squares orthogonal projections.

All lectures in Linear Algebra (MIT 18.06)

  1. 1. The Geometry of Linear Equations · 40 min
  2. Rec 1 | MIT 18.085 Computational Science and Engineering I, Fall 2008 · 50 min
  3. 2. Elimination with Matrices. · 48 min
  4. 3. Multiplication and Inverse Matrices · 47 min
  5. 4. Factorization into A = LU · 48 min
  6. 5. Transposes, Permutations, Spaces R^n · 48 min
  7. 6. Column Space and Nullspace · 46 min
  8. 7. Solving Ax = 0: Pivot Variables, Special Solutions · 43 min
  9. 8. Solving Ax = b: Row Reduced Form R · 47 min
  10. 9. Independence, Basis, and Dimension · 50 min
  11. 10. The Four Fundamental Subspaces · 49 min
  12. 11. Matrix Spaces; Rank 1; Small World Graphs · 46 min
  13. 12. Graphs, Networks, Incidence Matrices · 48 min
  14. 13. Quiz 1 Review · 48 min
  15. 14. Orthogonal Vectors and Subspaces · 50 min
  16. 15. Projections onto Subspaces · 49 min
  17. 16. Projection Matrices and Least Squares · 48 min
  18. Lec 17 | MIT 18.06 Linear Algebra, Spring 2005 · 49 min
  19. 18. Properties of Determinants · 49 min
  20. 19. Determinant Formulas and Cofactors · 53 min
  21. 20. Cramer's Rule, Inverse Matrix, and Volume · 51 min
  22. Lec 21 | MIT 18.06 Linear Algebra, Spring 2005 · 51 min
  23. 22. Diagonalization and Powers of A · 52 min
  24. 23. Differential Equations and exp(At) · 51 min
  25. Lec 24 | MIT 18.06 Linear Algebra, Spring 2005 · 51 min
  26. Lec 24b | MIT 18.06 Linear Algebra, Spring 2005 · 48 min
  27. Lec 25 | MIT 18.06 Linear Algebra, Spring 2005 · 44 min
  28. 26. Complex Matrices; Fast Fourier Transform · 48 min
  29. 27. Positive Definite Matrices and Minima · 51 min
  30. Lec 28 | MIT 18.06 Linear Algebra, Spring 2005 · 46 min
  31. Lec 29 | MIT 18.06 Linear Algebra, Spring 2005 · 42 min
  32. 30. Linear Transformations and Their Matrices · 49 min
  33. Lec 31 | MIT 18.06 Linear Algebra, Spring 2005 · 50 min
  34. 32. Quiz 3 Review · 47 min
  35. 33. Left and Right Inverses; Pseudoinverse · 42 min
  36. 34. Final Course Review · 43 min