Linear Algebra And Linear Models, 3Rd Edition

Book Details

• Publisher: Hindustan

• Author: BAPAT R.B.

• Language: English

• ISBN: 9789380250281

• Pages: [Number of pages not provided]

• Cover: Paperback

• Dimensions: 9.4 x 6.1 x 0.4 inches

About The Book

Linear Algebra and Linear Models by BAPAT R.B. is a comprehensive and rigorous introduction to linear algebra with a special focus on its applications in statistics. This third edition reorganizes the material to present linear algebra in the first six chapters, making it an ideal starting point for students of statistics or anyone seeking a matrix-theoretic approach to linear algebra.

The book covers essential topics such as vector spaces, subspaces, rank, eigenvalues, generalized inverses, and positive definite matrices. Key features of the new edition include in-depth coverage of rank additivity, inequalities for eigenvalues and singular values, and a brand-new chapter on linear mixed models. Additionally, the book introduces a wealth of new exercises, including over seventy new problems on matrix rank, which is crucial for understanding generalized inverses, idempotent matrices, and partitioned matrices.

This text is suitable for advanced undergraduate and first-year graduate students studying linear algebra, linear models, multivariate analysis, and design of experiments. The inclusion of numerous exercises, complete with hints and solutions, ensures that students can consolidate their understanding and apply their knowledge effectively. Researchers in mathematics and statistics will also find this book to be a valuable resource for its results and challenging problems.

Whether you're a student seeking to deepen your understanding of linear algebra or a researcher looking for practical results, BAPAT R.B.’s Linear Algebra and Linear Models provides a solid foundation in both theory and application.