书目名称 | Matrix Algebra | 副标题 | Theory, Computations | 编辑 | James E. Gentle | 视频video | | 概述 | Includes comprehensive coverage of matrix algebra for data science and statistical theory.Explains in clearer text and has comprehensive coverage.Highlights R, and extensive coverage of statistical li | 丛书名称 | Springer Texts in Statistics | 图书封面 |  | 描述 | .This book presents the theory of matrix algebra for statistical applications, explores various types of matrices encountered in statistics, and covers numerical linear algebra. Matrix algebra is one of the most important areas of mathematics in data science and in statistical theory, and previous editions had essential updates and comprehensive coverage on critical topics in mathematics..This 3.rd. edition offers a self-contained description of relevant aspects of matrix algebra for applications in statistics. It begins with fundamental concepts of vectors and vector spaces; covers basic algebraic properties of matrices and analytic properties of vectors and matrices in multivariate calculus; and concludes with a discussion on operations on matrices, in solutions of linear systems and in eigenanalysis. It also includes discussions of the R software package, with numerous examples and exercises..Matrix Algebra. considers various types of matrices encountered in statistics, such as projection matrices and positive definite matrices, and describes special properties of those matrices; as well as describing various applications of matrix theory in statistics, including linear models, | 出版日期 | Textbook 2024Latest edition | 关键词 | matrix; linear algebra; numerical analysis; optimization; linear model; vector; linear transformation; sing | 版次 | 3 | doi | https://doi.org/10.1007/978-3-031-42144-0 | isbn_softcover | 978-3-031-51645-0 | isbn_ebook | 978-3-031-42144-0Series ISSN 1431-875X Series E-ISSN 2197-4136 | issn_series | 1431-875X | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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