Linear Algebra and Matrix Analysis for Statistics

Book description

Linear Algebra and Matrix Analysis for Statistics offers a gradual exposition to linear algebra without sacrificing the rigor of the subject. It presents both the vector space approach and the canonical forms in matrix theory. The book is as self-contained as possible, assuming no prior knowledge of linear algebra.The authors first address the rudi

Table of contents

  1. Front Cover (1/2)
  2. Front Cover (2/2)
  3. Contents (1/2)
  4. Contents (2/2)
  5. Preface
  6. CHAPTER 1: Matrices, Vectors and Their Operations (1/7)
  7. CHAPTER 1: Matrices, Vectors and Their Operations (2/7)
  8. CHAPTER 1: Matrices, Vectors and Their Operations (3/7)
  9. CHAPTER 1: Matrices, Vectors and Their Operations (4/7)
  10. CHAPTER 1: Matrices, Vectors and Their Operations (5/7)
  11. CHAPTER 1: Matrices, Vectors and Their Operations (6/7)
  12. CHAPTER 1: Matrices, Vectors and Their Operations (7/7)
  13. CHAPTER 2: Systems of Linear Equations (1/6)
  14. CHAPTER 2: Systems of Linear Equations (2/6)
  15. CHAPTER 2: Systems of Linear Equations (3/6)
  16. CHAPTER 2: Systems of Linear Equations (4/6)
  17. CHAPTER 2: Systems of Linear Equations (5/6)
  18. CHAPTER 2: Systems of Linear Equations (6/6)
  19. CHAPTER 3: More on Linear Equations (1/5)
  20. CHAPTER 3: More on Linear Equations (2/5)
  21. CHAPTER 3: More on Linear Equations (3/5)
  22. CHAPTER 3: More on Linear Equations (4/5)
  23. CHAPTER 3: More on Linear Equations (5/5)
  24. CHAPTER 4: Euclidean Spaces (1/9)
  25. CHAPTER 4: Euclidean Spaces (2/9)
  26. CHAPTER 4: Euclidean Spaces (3/9)
  27. CHAPTER 4: Euclidean Spaces (4/9)
  28. CHAPTER 4: Euclidean Spaces (5/9)
  29. CHAPTER 4: Euclidean Spaces (6/9)
  30. CHAPTER 4: Euclidean Spaces (7/9)
  31. CHAPTER 4: Euclidean Spaces (8/9)
  32. CHAPTER 4: Euclidean Spaces (9/9)
  33. CHAPTER 5: The Rank of a Matrix (1/6)
  34. CHAPTER 5: The Rank of a Matrix (2/6)
  35. CHAPTER 5: The Rank of a Matrix (3/6)
  36. CHAPTER 5: The Rank of a Matrix (4/6)
  37. CHAPTER 5: The Rank of a Matrix (5/6)
  38. CHAPTER 5: The Rank of a Matrix (6/6)
  39. CHAPTER 6: Complementary Subspaces (1/5)
  40. CHAPTER 6: Complementary Subspaces (2/5)
  41. CHAPTER 6: Complementary Subspaces (3/5)
  42. CHAPTER 6: Complementary Subspaces (4/5)
  43. CHAPTER 6: Complementary Subspaces (5/5)
  44. CHAPTER 7: Orthogonality, Orthogonal Subspaces and Projections (1/6)
  45. CHAPTER 7: Orthogonality, Orthogonal Subspaces and Projections (2/6)
  46. CHAPTER 7: Orthogonality, Orthogonal Subspaces and Projections (3/6)
  47. CHAPTER 7: Orthogonality, Orthogonal Subspaces and Projections (4/6)
  48. CHAPTER 7: Orthogonality, Orthogonal Subspaces and Projections (5/6)
  49. CHAPTER 7: Orthogonality, Orthogonal Subspaces and Projections (6/6)
  50. CHAPTER 8: More on Orthogonality (1/10)
  51. CHAPTER 8: More on Orthogonality (2/10)
  52. CHAPTER 8: More on Orthogonality (3/10)
  53. CHAPTER 8: More on Orthogonality (4/10)
  54. CHAPTER 8: More on Orthogonality (5/10)
  55. CHAPTER 8: More on Orthogonality (6/10)
  56. CHAPTER 8: More on Orthogonality (7/10)
  57. CHAPTER 8: More on Orthogonality (8/10)
  58. CHAPTER 8: More on Orthogonality (9/10)
  59. CHAPTER 8: More on Orthogonality (10/10)
  60. CHAPTER 9: Revisiting Linear Equations (1/4)
  61. CHAPTER 9: Revisiting Linear Equations (2/4)
  62. CHAPTER 9: Revisiting Linear Equations (3/4)
  63. CHAPTER 9: Revisiting Linear Equations (4/4)
  64. CHAPTER 10: Determinants (1/7)
  65. CHAPTER 10: Determinants (2/7)
  66. CHAPTER 10: Determinants (3/7)
  67. CHAPTER 10: Determinants (4/7)
  68. CHAPTER 10: Determinants (5/7)
  69. CHAPTER 10: Determinants (6/7)
  70. CHAPTER 10: Determinants (7/7)
  71. CHAPTER 11: Eigenvalues and Eigenvectors (1/12)
  72. CHAPTER 11: Eigenvalues and Eigenvectors (2/12)
  73. CHAPTER 11: Eigenvalues and Eigenvectors (3/12)
  74. CHAPTER 11: Eigenvalues and Eigenvectors (4/12)
  75. CHAPTER 11: Eigenvalues and Eigenvectors (5/12)
  76. CHAPTER 11: Eigenvalues and Eigenvectors (6/12)
  77. CHAPTER 11: Eigenvalues and Eigenvectors (7/12)
  78. CHAPTER 11: Eigenvalues and Eigenvectors (8/12)
  79. CHAPTER 11: Eigenvalues and Eigenvectors (9/12)
  80. CHAPTER 11: Eigenvalues and Eigenvectors (10/12)
  81. CHAPTER 11: Eigenvalues and Eigenvectors (11/12)
  82. CHAPTER 11: Eigenvalues and Eigenvectors (12/12)
  83. CHAPTER 12: Singular Value and Jordan Decompositions (1/6)
  84. CHAPTER 12: Singular Value and Jordan Decompositions (2/6)
  85. CHAPTER 12: Singular Value and Jordan Decompositions (3/6)
  86. CHAPTER 12: Singular Value and Jordan Decompositions (4/6)
  87. CHAPTER 12: Singular Value and Jordan Decompositions (5/6)
  88. CHAPTER 12: Singular Value and Jordan Decompositions (6/6)
  89. CHAPTER 13: Quadratic Forms (1/9)
  90. CHAPTER 13: Quadratic Forms (2/9)
  91. CHAPTER 13: Quadratic Forms (3/9)
  92. CHAPTER 13: Quadratic Forms (4/9)
  93. CHAPTER 13: Quadratic Forms (5/9)
  94. CHAPTER 13: Quadratic Forms (6/9)
  95. CHAPTER 13: Quadratic Forms (7/9)
  96. CHAPTER 13: Quadratic Forms (8/9)
  97. CHAPTER 13: Quadratic Forms (9/9)
  98. CHAPTER 14: The Kronecker Product and Related Operations (1/8)
  99. CHAPTER 14: The Kronecker Product and Related Operations (2/8)
  100. CHAPTER 14: The Kronecker Product and Related Operations (3/8)
  101. CHAPTER 14: The Kronecker Product and Related Operations (4/8)
  102. CHAPTER 14: The Kronecker Product and Related Operations (5/8)
  103. CHAPTER 14: The Kronecker Product and Related Operations (6/8)
  104. CHAPTER 14: The Kronecker Product and Related Operations (7/8)
  105. CHAPTER 14: The Kronecker Product and Related Operations (8/8)
  106. CHAPTER 15: Linear Iterative Systems, Norms and Convergence (1/8)
  107. CHAPTER 15: Linear Iterative Systems, Norms and Convergence (2/8)
  108. CHAPTER 15: Linear Iterative Systems, Norms and Convergence (3/8)
  109. CHAPTER 15: Linear Iterative Systems, Norms and Convergence (4/8)
  110. CHAPTER 15: Linear Iterative Systems, Norms and Convergence (5/8)
  111. CHAPTER 15: Linear Iterative Systems, Norms and Convergence (6/8)
  112. CHAPTER 15: Linear Iterative Systems, Norms and Convergence (7/8)
  113. CHAPTER 15: Linear Iterative Systems, Norms and Convergence (8/8)
  114. CHAPTER 16: Abstract Linear Algebra (1/7)
  115. CHAPTER 16: Abstract Linear Algebra (2/7)
  116. CHAPTER 16: Abstract Linear Algebra (3/7)
  117. CHAPTER 16: Abstract Linear Algebra (4/7)
  118. CHAPTER 16: Abstract Linear Algebra (5/7)
  119. CHAPTER 16: Abstract Linear Algebra (6/7)
  120. CHAPTER 16: Abstract Linear Algebra (7/7)
  121. References
  122. Back Cover

Product information

  • Title: Linear Algebra and Matrix Analysis for Statistics
  • Author(s): Sudipto Banerjee, Anindya Roy
  • Release date: June 2014
  • Publisher(s): Chapman and Hall/CRC
  • ISBN: 9781482248241