| Description |
1 online resource (578 pages) |
| Series |
Chapman & Hall/CRC Texts in Statistical Science |
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Chapman & Hall/CRC Texts in Statistical Science.
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| Contents |
Front Cover; Contents; Preface; CHAPTER 1: Matrices, Vectors and Their Operations; CHAPTER 2: Systems of Linear Equations; CHAPTER 3: More on Linear Equations; CHAPTER 4: Euclidean Spaces; CHAPTER 5: The Rank of a Matrix; CHAPTER 6: Complementary Subspaces; CHAPTER 7: Orthogonality, Orthogonal Subspaces and Projections; CHAPTER 8: More on Orthogonality; CHAPTER 9: Revisiting Linear Equations; CHAPTER 10: Determinants; CHAPTER 11: Eigenvalues and Eigenvectors; CHAPTER 12: Singular Value and Jordan Decompositions; CHAPTER 13: Quadratic Forms. |
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CHAPTER 14: The Kronecker Product and Related OperationsCHAPTER 15: Linear Iterative Systems, Norms and Convergence; CHAPTER 16: Abstract Linear Algebra; References; Back Cover. |
| Summary |
Matrices, Vectors, and Their OperationsBasic definitions and notations Matrix addition and scalar-matrix multiplication Matrix multiplication Partitioned matricesThe ""trace"" of a square matrix Some special matricesSystems of Linear EquationsIntroduction Gaussian elimination Gauss-Jordan elimination Elementary matrices Homogeneous linear systems The inverse of a matrixMore on Linear EquationsThe LU decompositionCrout's Algorithm LU decomposition with row interchanges The LDU and Cholesky factorizations Inverse of partitioned matrices The LDU decomposition for partitioned matricesThe Sherman-W |
| Subject |
Algebras, Linear.
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Matrices.
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Mathematical statistics.
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Algèbre linéaire. |
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Matrices. |
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Algebras, Linear |
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Mathematical statistics |
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Matrices |
| Added Author |
Roy, Anindya.
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| Other Form: |
Print version: Banerjee, Sudipto. Linear Algebra and Matrix Analysis for Statistics. Hoboken : CRC Press, ©2014 9781420095388 |
| ISBN |
9781482248241 (electronic bk.) |
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1482248247 (electronic bk.) |
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