Linear Algebra and Linear Models

Author/creator Bapat, R. B. Author
Format Electronic
Edition3rd ed.
Publication InfoNew York : Springer
Descriptionviii, 167 p. ill 23.500 x 015.500 cm.
Supplemental ContentFull text available from Springer Nature - Springer Mathematics and Statistics eBooks 2012 English International
Supplemental ContentFull text available from Springer Books

Uniform titleLinear Algebra and Linear Models, 2e
SeriesUniversitext Ser.
Summary Annotation Linear Algebra and Linear Models comprises a concise and rigorous introduction to linear algebra required for statistics followed by the basic aspects of the theory of linear estimation and hypothesis testing. The emphasis is on the approach using generalized inverses. Topics such as the multivariate normal distribution and distribution of quadratic forms are included.For this third edition, the material has been reorganised to develop the linear algebra in the first six chapters, to serve as a first course on linear algebra that is especially suitable for students of statistics or for those looking for a matrix theoretic approach to the subject. Other key features include:coverage of topics such as rank additivity, inequalities for eigenvalues and singular values;a new chapter on linear mixed models;over seventy additional problems on rank: the matrix rank is an important and rich topic with connections to many aspects of linear algebra such as generalized inverses, idempotent matrices and partitioned matrices.This text is aimed primarily at advanced undergraduate and first-year graduate students taking courses in linear algebra, linear models, multivariate analysis and design of experiments. A wealth of exercises, complete with hints and solutions, help to consolidate understanding. Researchers in mathematics and statistics will also find the book a useful source of results and problems.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
ISBN9781447127383
ISBN1447127382 (Trade Paper) Active Record
Standard identifier# 9781447127383
Stock number1447127382 00024965

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