Linear Algebra

Linear Algebra

Dr Juan Klopper via YouTube Direct link

11G The Dot Product

44 of 92

44 of 92

11G The Dot Product

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Linear Algebra

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  1. 1 1 Elementary Linear Algebra.flv
  2. 2 2 Construction of a Matrix-YouTube sharing.mov
  3. 3 3A Matrix Addition and Subtraction-YouTube sharing.mov
  4. 4 3B Addition and Subtraction Examples-YouTube sharing.mov
  5. 5 4A Matrix Multiplication-YouTube sharing.mov
  6. 6 4B Transpose of a Matrix-YouTube sharing.mov
  7. 7 4C Properties of the Transpose
  8. 8 5A Properties of Matrix Arithmetic-YouTube sharing.mov
  9. 9 5B Commutative Law of Matrix Multiplication-YouTube sharing.mov
  10. 10 6A Matrix Reduction with Gauss Elimination-YouTube sharing.mov
  11. 11 6B Row-Echelon Forms-YouTube sharing.mov
  12. 12 6C Reduced Row-Echelon Form with Gauss-Jordan Elimination-YouTube sharing.mov
  13. 13 7A_1 Linear Algebra Definitons
  14. 14 7A_2 Linear Algebra Definitions
  15. 15 7A_3 Linear Algebra Definitions
  16. 16 7B Inverse of a Matrix-YouTube sharing.mov
  17. 17 7C Inverse of a Matrix Example 1-YouTube sharing.mov
  18. 18 7C Inverse of a Matrix Example 2-YouTube sharing.mov
  19. 19 7C Inverse of a Matrix Example 3-YouTube sharing.mov
  20. 20 7C Inverse of a Matrix Example 4-YouTube sharing.mov
  21. 21 7D Matrix Exponents
  22. 22 7E The Elementary Matrix
  23. 23 7F Diagonal Triangular Symmetric Matrices
  24. 24 8 Row and Column Views of a Matrix
  25. 25 9A_1 The Inverse of a Matrix
  26. 26 9A_2 The Inverse of a Matrix Using the Idenity Matrix
  27. 27 9A_3 The Inverse of a Matrix Using the Identity Matrix
  28. 28 9A_4 The Inverse of a Matrix Using the Determinant
  29. 29 9A_5 The Inverse of a Matrix Cramer Method
  30. 30 9B The Determinant
  31. 31 9C The Determinant
  32. 32 9D The Determinant
  33. 33 9E The Determinant
  34. 34 9F The Determinant
  35. 35 9G The Determinant
  36. 36 9H The Determinant
  37. 37 10A An Introduction to Eigenvalues and Eigenvectors
  38. 38 11A Introduction to Vectors
  39. 39 11B Introduction to Vectors
  40. 40 11C The Norm of a Vector
  41. 41 11D The Norm of a Vector
  42. 42 11E The Dot Product
  43. 43 11F The Dot Product
  44. 44 11G The Dot Product
  45. 45 11H Orthogonal Projection of a Vector
  46. 46 11I Orthogonal Projection of a Vector
  47. 47 11J Orthogonal Projection of a Vector
  48. 48 11K More Example of Dot Product and Orthogonal Projections
  49. 49 11L More Example of Dot Product and Orthogonal Projections
  50. 50 11M The Cross Product
  51. 51 11N The Cross Product
  52. 52 11O The Cross Product
  53. 53 11P The Cross Product
  54. 54 11Q The Cross Product
  55. 55 11R The Cross Product
  56. 56 11S The Cross Product
  57. 57 12A Equations of a Plane
  58. 58 12B Plane Geometry
  59. 59 12C Plane Geometry
  60. 60 12D Plane Geometry
  61. 61 12E Plane Geometry
  62. 62 12F Plane Geometry
  63. 63 12G Plane Geometry
  64. 64 12H Plane Geometry
  65. 65 12I Plane Geometry
  66. 66 12J Plane Geometry
  67. 67 12K Additional Plane Geomtery Facts.flv
  68. 68 12L Additional Plane Geometry Facts.flv
  69. 69 12M Additional Plane Geometry Facts
  70. 70 13A Vectors in n Space
  71. 71 13B Vectors in n Space
  72. 72 13C Norm and Distance in Euclidean n Space
  73. 73 13D Orthogonality
  74. 74 13E A Matrix Equation for the Dot Product
  75. 75 13F Example Problems for Euclidean n Space
  76. 76 14A Introduction to Complex Numbers
  77. 77 14B Complex Number Multiplication
  78. 78 14C Matrices with Complex Number Elements
  79. 79 14D Sample Problems
  80. 80 14E Division of Complex Numbers
  81. 81 14F Division of Complex Numbers
  82. 82 14G Division of Complex Numbers
  83. 83 14H Division of Complex Numbers
  84. 84 14I Division of Complex Numbers
  85. 85 14J Polar Form of Complex Numbers and the nth Root
  86. 86 14K Polar Form of Complex Numbers and the nth Root
  87. 87 14L Polar Form of Complex Numbers and the nth Root
  88. 88 14M Polar Form of Complex Numbers and the nth Root
  89. 89 14N Polar Form of Complex Numbers and the nth Root
  90. 90 14O The nth Root of a Number
  91. 91 14P The nth Root of a Number
  92. 92 14Q The nth Root of a Number

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