TY - BOOK AU - Searle,Shayle R. AU - Khuri,Andre I. TI - Matrix algebra useful for statistics T2 - Wiley series in probability and statistics SN - 9781118935149 (hbk) U1 - 512.9434 23 PY - 2017/// CY - New Jersey : PB - John Wiley & Sons KW - Matrices KW - Mathematical statistics N1 - Includes bibliographical references and index; 1. Vector spaces, subspaces, and linear transformations -- 2. Matrix notation and terminology -- 3. Determinants -- 4. Matrix Operations -- 5. Special matrices -- 6. Eigenvalues and eigenvectors -- 7. Diagonalization of matrices -- 8. Generalized inverses -- 9. Matrix calculus -- 10. Multivariate distributions and quadratic forms -- 11. Matrix algebra of full-rank linear models -- 12. Less-than-full-rank linear models -- 13. Analysis of balanced linear models using direct products of matrices -- 14. Multiresponse models -- 15. SAS/IML -- 16. Use of MATLAB in matrix computations -- 17. Use of R in matrix computations N2 - This book addresses matrix algebra that is useful in the statistical analysis of data as well as within statistics as a whole. The material is presented in an explanatory style rather than a formal theorem-proof format and is self-contained. Featuring numerous applied illustrations, numerical examples, and exercises, the book has been updated to include the use of SAS, MATLAB, and R for the execution of matrix computations. ER -