Matrix Algebra from a Statistician's Perspective

Name: Matrix Algebra from a Statistician's Perspective
Price: 15.15 USD
Availability: InStock
ISBN: 9780387949789

ISBN-10: 038794978X

ISBN-13: 9780387949789

Edition: 1997

Authors: David A. Harville

List price: $99.00

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Description:

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 models and multivariate analysis. It includes a number of very useful results that have heretofore only been available from relatively obscure sources. Detailed proofs are provided for all results. David A.Harville is a research staff memeber in the Mathematical Sciences Department of the IBM T.J.Watson Research Center. Prior to joining the Research Center he spent ten years as a mathematical…

Book details

List price: $99.00
Copyright year: 1997
Publisher: Springer
Publication date: 11/30/2000
Binding: Hardcover
Pages: 634
Size: 6.50" wide x 9.75" long x 1.50" tall
Weight: 2.442
Language: English



Preface



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


References


Index