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"Designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, Numerical Linear Algebra with Applications contains all the material necessary for a first year graduate or advanced undergraduate course on numerical linear algebra with numerous applications to engineering and science.With a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions, this book is ideal for solving real-world problems. It provides necessary mathematical background information for those who want to learn to solve linear algebra problems, and offers a thorough explanation of the issues and methods for practical computing, using MATLAB as the vehicle for computation. The proofs of required results are provided without leaving out critical details. The Preface suggests ways in which the book can be used with or without an intensive study of proofs."

"This textbook on linear algebra includes the key topics of the usual topics, such as complex vector spaces, complex inner products, the Spectral theorem for normal operators, dual spaces, the minimal polynomial, the Jordan canonical form, and the rational canonical form, are covered, along with a chapter on determinants at the end of the book. In addition, there is material throughout the text on linear differential equations and how it integrates with all of the important concepts in linear algebra.This book has several distinguishing features that set it apart from other linear algebra texts. For example, Gaussian elimination is used as the key tool in getting at eigenvalues, it takes an essentially determinant-free approach to linear algebra, and systems of linear differential equations are used as frequent motivation for the reader. "

"The main purpose of Linear algebra and linear models is to provide a rigorous introduction to the basic aspects of the theory of linear estimation and hypothesis testing. The necessary prerequisites in matrices, multivariate normal distribution, and distributions of quadratic forms are developed along the way. For this third edition, the material has been reorganised to develop the linear algebra in the first six chapters. 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."