Matrix Algebra Exercises and Solutions

ISBN-10: 0387953183

ISBN-13: 9780387953182

Edition: 2001

List price: $39.99 Buy it from $27.99
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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 terminology and notation. The coverage includes topics of special interest and relevance in statistics and related disciplines, as well as standard topics.
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Book details

List price: $39.99
Copyright year: 2001
Publisher: Springer
Publication date: 9/6/2001
Binding: Paperback
Pages: 271
Size: 6.00" wide x 9.00" long x 0.75" tall
Weight: 0.946

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
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