Linear Algebra and the C Language

by Wikibooks contributors

A book Wikibooks counts as complete, from its open-content textbook collection.

Description from Wikibooks.

Publisher
Wikibooks contributors
Licence
CC BY-SA 4.0, as Wikibooks states it
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

  1. Linear Algebra and the C Language
  2. Cover
  3. Introduction
  4. Utilities for the C language
  5. Basic functions on matrices
  6. Write some basic matrices functions.
  7. Graphical utilities
  8. Examples of some applications
  9. Write your mathematics functions
  10. Create a matrix
  11. Print a matrix
  12. Print a matrix to a file
  13. Print a matrix for Octave:
  14. Copy a matrix
  15. Random matrices
  16. Choose Your Values
  17. Array of matrices
  18. Print row vectors:
  19. Basic operations
  20. The trace function
  21. The transpose function
  22. Identity matrix
  23. Triangular matrices
  24. Commutative matrices
  25. Similar matrices
  26. Symmetric matrices
  27. Skew-symmetric matrices
  28. Centrosymmetric matrices
  29. Positive-definite matrices
  30. Negative-definite matrices
  31. Hankel matrices
  32. Toeplitz matrices
  33. Taylor series: Exponential function
  34. The Transformation matrices [R2,C2]
  35. Determinant
  36. Elementary operations
  37. Intermediate functions
  38. Some properties
  39. The equation of a line
  40. The equation of a plan
  41. The equation of a parabola
  42. The equation of a circle
  43. The equation of a sphere
  44. The adjoint function
  45. The inverse with adjoint_mR();
  46. The cross product function
  47. Gauss-Jordan Total Pivoting
  48. The Inverse
  49. Network analysis
  50. Analysis of an electrical circuit
  51. The coefficients of a polynomial
  52. The coefficients of a conic
  53. The coefficients of a circle
  54. Nonlinear systems
  55. Choosing the solutions of the system
  56. Gauss-Jordan Partial Pivoting
  57. Free Variables
  58. Balancing a chemical equation
  59. Find a basis for ...
  60. Change of basis
  61. Matrix of a linear application
  62. Projection onto a vector subspace:
  63. Dot product
  64. Some properties
  65. Compute orthogonal vectors
  66. Orthonormal matrices
  67. Some properties
  68. QR Decomposition
  69. Network analysis
  70. Analysis of an electrical circuit
  71. The coefficients of a polynomial
  72. The coefficients of a conic
  73. The coefficients of a circle
  74. Eigenvalues Eigenvector
  75. Some properties
  76. Eigenvalues with multiplicity
  77. Condition number
  78. Matrix functions
  79. Linear discrete dynamical system
  80. The spectral decomposition
  81. The Quadratic forms: M[R2,C2]
  82. The Quadratic forms: M[R3,C3]
  83. Choose your eigenvalues
  84. The Projection of a plane (1)
  85. The Projection of a plane (2)
  86. The Projection of a space (1)
  87. The Projection of a space (2)
  88. The Projection of an hyperspace (1)
  89. The Projection of an hyperspace (2)
  90. The singular values
  91. SVD: Rn ≥ Cn
  92. Some properties
  93. SVD: Cn > Rn
  94. Pseudo-Inverse
  95. Network analysis
  96. Analysis of an electrical circuit
  97. The coefficients of a polynomial
  98. The coefficients of a conic
  99. The coefficients of a circle
  100. Utilities
  101. Creation of matrices
  102. Print matrices
  103. Random matrices. Copy matrices.
  104. Basic operations on matrices
  105. Determinant
  106. Total Pivoting (TP)
  107. Partial Pivoting (PP)
  108. Total Pivoting (TP) (Free variables)
  109. Partial Pivoting (PP) (Free variables)
  110. L'inverse with GaussJordan
  111. QR. Eigenvalue. Singular value
  112. Eigenvector
  113. SVD : Matrices with more rows than columns
  114. SVD : Matrices with more columns than rows
  115. Gnuplot