Springer Science & Business Media, 2001 – 271 p. - This book contains over 300 exercises and solutions that together cover 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. 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 Statistician's Perspective. 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. The overlap with exercises available from other sources is relatively small. This collection of exercises and their solutions will be a useful reference for students and researchers in matrix algebra. It will be of interest to mathematicians and statisticians.
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N.-Y.: CRC Press, 2014. — 580 p.
Matrices, Vectors, and Their Operations Basic definitions and notations Matrix addition and scalar-matrix multiplication Matrix multiplication Partitioned matrices The "trace" of a square matrix Some special matrices Systems of Linear Equations Introduction Gaussian elimination Gauss-Jordan elimination Elementary matrices Homogeneous linear...
Johns Hopkins University Press, 2012. — 790 p. — 4th edition — ISBN: 1421407949, 9781421407944 The fourth edition of Gene H. Golub and Charles F. Van Loan's classic is an essential reference for computational scientists and engineers in addition to researchers in the numerical linear algebra community. Anyone whose work requires the solution to a matrix problem and an...
Wiley, 2014. — 392 p. — ISBN: 1118592557, 9781118592557. Comprehensive in scope, Matrix Algebra for Linear Models offers a succinct summary of matrix theory and its related applications to statistics, especially linear models. The book provides a unified presentation of the mathematical properties and statistical applications of matrices in order to define and manipulate data....
Springer, 2000. — 748 p. — ISBN: 038794978X, 9780387226774 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...
Cambridge University Press, 2013. — 662 pages — 2nd ed. — ISBN: 0521839408, 0521548233, 9780521548236
Linear algebra and matrix theory are fundamental tools in mathematical and physical science, as well as fertile fields for research. This new edition of the acclaimed text presents results of both classic and recent matrix analysis using canonical forms as a unifying theme, and...
Под редакцией академика РАН Ильина В.А. — М.: Планета знаний, 2007. — 469 с. Настоящая книга представляет собой второе, переработанное и дополненное, издание задачника по объединенному курсу алгебры и аналитической геометрии. Теоретической поддержкой книги является учебник Ильина В.А,. Ким Г.Д. "Линейная алгебра и аналитическая геометрия" (DJVU), в котором авторы придерживаются...