Matrix Algebra From a Statistician’s Perspective
This book presents matrix algebra in a way that is well-suited for those with an interest in statistics or a related discipline. It provides thorough and unified coverage of the fundamental concepts along with the specialized topics encountered in areas of statistics such as linear statistical model...
Κύριος συγγραφέας: | |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
New York, NY :
Springer New York : Imprint: Springer,
1997.
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Matrices
- Submatrices and Partitioned Matrices
- Linear Dependence and Independence
- Linear Spaces: Row and Column Spaces
- Trace of a (Square) Matrix
- Geometrical Considerations
- Linear Systems: Consistency and Compatibility
- Inverse Matrices
- Generalized Inverses
- Idempotent Matrices
- Linear Systems: Solutions
- Projections and Projection Matrices
- Determinants
- Linear, Bilinear, and Quadratic Forms
- Matrix Differentiation
- Kronecker Products and the Vec and Vech Operators
- Intersections and Sums of Subspaces
- Sums (and Differences) of Matrices
- Minimization of a Second-Degree Polynomial (in n Variables) Subject to Linear Constraints
- The Moore-Penrose Inverse
- Eigenvalues and Eigenvectors
- Linear Transformations
- Erratum.