Matrix algebra: exercises and solutions

by Harville, David A.

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Title Statements

Full title :Matrix algebra: exercises and solutions / David A. Harville.

Edition Statements

Publication Date:2001.

Publication Statements

Publisher(s):Springer
Place of Publication:New York
Language:eng
Publication Date:2001.

Notes

The exercises are taken from the author's earlier book "Matrix algebra from a statistician's perspective", New York : Springer, 1997, ISBN 0-387-94978-X. They have been restated as necessary to stand alone.

The Physical Object

Description:xxxi, 271 pages ; : 24 cm

Edition Identifiers

ISBN:0387953183, 9780387953182
oclc:ocm48231809
LC Classification:QA188
Dewey Decimal:512.9/434

1. Matrices -- 2. Submatrices and Partitioned Matrices -- 3. Linear Dependence and Independence -- 4. Linear Spaces: Row and Column Spaces -- 5. Trace of a (Square) Matrix -- 6. Geometrical Considerations -- 7. Linear Systems: Consistency and Compatibility -- 8. Inverse Matrices -- 9. Generalized Inverses -- 10. Idempotent Matrices -- 11. Linear Systems: Solutions -- 12. Projections and Projection Matrices -- 13. Determinants -- 14. Linear, Bilinear, and Quadratic Forms -- 15. Matrix Differentiation -- 16. Kronecker Products and the Vec and Vech Operators -- 17. Intersections of Sums of Subspaces -- 18. Sums (and Differences) of Matrices -- 19. Minimization of a Second-Degree Polynomial (in n Variables) Subject to Linear Constraints -- 20. The Moore-Penrose Inverse -- 21. Eigenvalues and Eigenvectors -- 22. Linear Transformations.