Library/Linear Algebra for Machine Learning: Vectors, Matrices, Eigenvalues and SVD/Lesson 13 of 48

Tensor Operations: Segment Introduction

1:20
Jon Krohn
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Course Contents

  1. 1Welcome to the Machine Learning Foundations Series2:38
  2. 2What Linear Algebra Is24:04
  3. 3Plotting a System of Linear Equations9:19
  4. 4Linear Algebra Exercise: Solar Panels2:05
  5. 5Tensors2:34
  6. 6Scalars13:05
  7. 7Vectors and Vector Transposition12:19
  8. 8Norms and Unit Vectors15:10
  9. 9Basis, Orthogonal, and Orthonormal Vectors4:30
  10. 10Matrix Tensors8:24
  11. 11Generic Tensor Notation6:44
  12. 12Exercises on Algebra Data Structures0:42
  13. 13Tensor Operations: Segment Introduction1:20
  14. 14Tensor Transposition3:53
  15. 15Basic Tensor Arithmetic and the Hadamard Product6:13
  16. 16Tensor Reduction3:32
  17. 17The Dot Product5:14
  18. 18Exercises on Tensor Operations0:57
  19. 19Solving Linear Systems with Substitution4:04
  20. 20Solving Linear Systems with Elimination5:52
  21. 21Visualizing Linear Systems10:59
  22. 22Matrix Properties: Segment Introduction2:06
  23. 23The Frobenius Norm5:02
  24. 24Matrix Multiplication25:00
  25. 25Symmetric and Identity Matrices4:42
  26. 26Matrix Multiplication Exercises0:52
  27. 27Matrix Inversion17:07
  28. 28Diagonal Matrices3:26
  29. 29Orthogonal Matrices5:50
  30. 30Orthogonal Matrix Exercises2:11
  31. 31Linear Algebra II: Matrix Operations Overview17:53
  32. 32Applying Matrices7:32
  33. 33Affine Transformations18:53
  34. 34Eigenvectors and Eigenvalues26:47
  35. 35Matrix Determinants8:05
  36. 36Determinants of Larger Matrices8:42
  37. 37Determinant Exercises1:28
  38. 38Determinants and Eigenvalues16:16
  39. 39Eigendecomposition12:49
  40. 40Eigenvector and Eigenvalue Applications13:02
  41. 41Matrix Operations for Machine Learning: Segment Introduction3:22
  42. 42Singular Value Decomposition10:50
  43. 43Data Compression with SVD11:33
  44. 44The Moore-Penrose Pseudoinverse12:23
  45. 45Regression with the Pseudoinverse18:57
  46. 46The Trace Operator4:37
  47. 47Principal Component Analysis (PCA)8:27
  48. 48Linear Algebra Resources6:11
Lessons by Jon Krohn on YouTube. Curated by YodaHut — we didn't make this content.