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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Harville, David A. (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: New York, NY : Springer New York : Imprint: Springer, 1997.
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.