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Lecture 18 of 40Week 4: Matrix Rank, Inverse, Eigenvalues, Eigenvectors, Special Matrices, Normal modes

Lecture 18: Special matrices

Prof. Madhav Ranganathan · IIT Kanpur

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Mathematics for Chemistry, IIT Kanpur (at NPTEL)
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CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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All the lectures

  1. Lecture 1: Errors, precision and accuracy Video
  2. Lecture 2: Probability and distributions Video
  3. Lecture 3: Gaussian distribution and integrals Video
  4. Lecture4:Gaussian distribution, integrals, averages Video
  5. Lecture 5: Practice problems 1 Video
  6. Lecture 6: Vectors and Vector Spaces Video
  7. Lecture 7: Linear Independence Video
  8. Lecture 8: Scalar and vector fields Video
  9. Lecture 9: Gradient, divergence and curl Video
  10. Lecture 10: Practice problems 2 Video
  11. Lecture 11: Line integrals, Potential Theory Video
  12. Lecture 12: Surface and Volume Integrals Video
  13. Lecture 13: Matrices Video
  14. Lecture 14: Linear Systems, Cramer's Rule Video
  15. Lecture 15: Practice Problems 3 Video
  16. Lecture 16: Rank and Inverse of a Matrix Video
  17. Lecture 17: Eigenvalues and Eigenvectors Video
  18. Lecture 18: Special matrices Video
  19. Lecture 19: Spectral decomposition and Normal modes Video
  20. Lecture 20: Practice Problems 4 Video
  21. Lecture 21: Differential equations, Order Video
  22. Lecture 22: Exact and Inexact differentials Video
  23. Lecture 23: Integrating Factors Video
  24. Lecture 24: System of 1st order ODEs, matrix methods Video
  25. Lecture 25: Practice Problems 5 Video
  26. Lecture 26: Types of 2nd order ODEs, nature of solutions Video
  27. Lecture 27: Homogeneous 2nd order ODEs Video
  28. Lecture 28: Homogeneous and nonhomogeneous equations Video
  29. Lecture 29: Nonhomogeneous equations – Variation of parameters Video
  30. Lecture 30: Practice Problems 6 Video
  31. Lecture 31: Power series method for solving Legendre DE Video
  32. Lecture 32: Properties of Legendre Polynomials Video
  33. Lecture 33: Associated Legendre Polynomials, Spherical Harmonics Video
  34. Lecture 34: Hermite Polynomials, Solution of Quantum Harmonic Oscillator Video
  35. Lecture 35: Practice Problems 7 Video
  36. Lecture 36: Conditions for power series solution Video
  37. Lecture 37: Frobenius Method, Bessel Functions Video
  38. Lecture 38: Properties of Bessel Functions, circular boundary problems Video
  39. Lecture 39: Leguerre Polynomials, solution to radial part of H-atom Video
  40. Lecture 40: Practice Problems 8 Video