Matrix Algebra Exercises and Solutions

Name: Matrix Algebra Exercises and Solutions
Availability: InStock
ISBN: 9780387953182

ISBN-10: 0387953183

ISBN-13: 9780387953182

Edition: 2001

Authors: David A. Harville

List price: $64.99

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Description:

This book contains over 300 exercises and solutions covering a wide variety of topics in matrix algebra. They can be used for independent study or in creating a challenging and stimulating environment that encourages active engagement in the learning process. Thus, the book can be of value to both teachers and students. The requisite background is some previous exposure to matrix algebra of the kind obtained in a first course. The exercises are those from an earlier book by the same author entitled Matrix Algebra From a Statisticians Perspective (ISBN 0-387-94978-X). They have been restated (as necessary) to stand alone, and the book includes extensive and detailed summaries of all relevant…

Book details

List price: $64.99
Copyright year: 2001
Publisher: Springer New York
Publication date: 9/6/2001
Binding: Paperback
Pages: 271
Size: 6.10" wide x 9.25" long x 0.75" tall
Weight: 0.946
Language: English



Preface


Some Notation


Some Terminology



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 of 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