Mathematics Of Matrices A First Book Of Matrix The Ory And Linear Algebra 2nd Edition Teachers Manua L

Matrix And Linear Algebra, Edition 2

The present book, renamed Matrix and Linear Algebra: Aided with MATLAB, is a completely re-organized, thoroughly revised and fully updated version of the author’s earlier book Matrix and Linear Algebra. This second edition of the well-received textbook, propelled by the motivation of introducing MATLAB for the study of the numerical aspect of matrix theory, has been developed after taking into account the recent changes in university syllabi, additional pedagogic features needed, as well as the latest developments in the subject areas of Matrix Algebra and Linear Algebra. The use of MATLAB macros throughout the book is the most interesting feature of this edition. Besides, the second edition significantly improves the coverage of all major topics in the two allied subject areas, such as the topics on matrices, determinants, vector spaces, bilinear transformations, and numerical techniques, that were presented in the first edition. New to the Second Edition  Sections on  MATLAB operations (at the end of most chapters)  Square root, sine, cosine, and logarithm of a matrix  Solution of vector-matrix differential equations  Extensively revised presentation of a section on decomposition of root subspaces  Enhanced discussion of many existing topics  Increased numbers of chapter-end problems and worked-out examples  Many redrawn figures for greater clarity  An exhaustive Solutions Manual for instructors teaching this subject. The book is highly suitable for undergraduate and postgraduate students of Mathematics, Statistics, and all engineering disciplines. It will also be a useful reference for researchers and professionals in these fields.

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Matrix Mathematics

Using a modern matrix-based approach, this rigorous second course in linear algebra helps upper-level undergraduates in mathematics, data science, and the physical sciences transition from basic theory to advanced topics and applications. Its clarity of exposition together with many illustrations, 900+ exercises, and 350 conceptual and numerical examples aid the student's understanding. Concise chapters promote a focused progression through essential ideas. Topics are derived and discussed in detail, including the singular value decomposition, Jordan canonical form, spectral theorem, QR factorization, normal matrices, Hermitian matrices, and positive definite matrices. Each chapter ends with a bullet list summarizing important concepts. New to this edition are chapters on matrix norms and positive matrices, many new sections on topics including interpolation and LU factorization, 300+ more problems, many new examples, and color-enhanced figures. Prerequisites include a first course in linear algebra and basic calculus sequence. Instructor's resources are available.