| 書目名稱 | Linear Algebra | | 副標(biāo)題 | From the Beginnings | | 編輯 | Toshitsune Miyake | | 視頻video | http://file.papertrans.cn/587/586257/586257.mp4 | | 概述 | Defines matrices and explains the main topics of linear algebra such as vector spaces and linear mappings.Starts from beginner‘s level and comes to advanced topics such as inner products or the Jordan | | 圖書封面 |  | | 描述 | The purpose of this book is to explain linear algebra clearly for beginners. In doing so, the author states and explains somewhat advanced topics such as Hermitian products and Jordan normal forms. Starting from the definition of matrices, it is made clear with examples that matrices and matrix operation are abstractions of tables and operations of tables. The author also maintains that systems of linear equations are the starting point of linear algebra, and linear algebra and linear equations are closely connected. The solutions to systems of linear equations are found by solving matrix equations in the row-reduction of matrices, equivalent to the Gauss elimination method of solving systems of linear equations. The row-reductions play important roles in calculation in this book. To calculate row-reductions of matrices, the matrices are arranged vertically, which is seldom seen but is convenient for calculation. Regular matrices and determinants of matrices are defined and explained. Furthermore, the resultants of polynomials are discussed as an application of determinants. Next, abstract vector spaces over a field .K. are defined. In the book, however, mainly vector spaces are co | | 出版日期 | Textbook 2022 | | 關(guān)鍵詞 | matrices and system of linear equations; row-reductions of matrices and determinants of matrices; vect | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-16-6994-1 | | isbn_softcover | 978-981-16-6996-5 | | isbn_ebook | 978-981-16-6994-1 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
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