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Titlebook: Linear Algebra with Applications to Economics; Sergey Khrushchev Textbook 2024 The Editor(s) (if applicable) and The Author(s), under excl

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樓主
發(fā)表于 2025-3-21 16:40:48 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Linear Algebra with Applications to Economics
編輯Sergey Khrushchev
視頻videohttp://file.papertrans.cn/587/586283/586283.mp4
概述Provides comprehensive coverage, from the Gauss-Jordan elimination method to the theory of generalized inverse matrices.Integrates tools such as Matlab, Wolfram’s Mathematica, Microsoft Copilot, and C
叢書名稱Classroom Companion: Economics
圖書封面Titlebook: Linear Algebra with Applications to Economics;  Sergey Khrushchev Textbook 2024 The Editor(s) (if applicable) and The Author(s), under excl
描述.This textbook is intended for students of Mathematical Economics and is based on my lectures on Linear Algebra delivered at Satbayev University in Almaty, Kazakhstan. The program closely aligns with that of the London School of Economics. The textbook extensively utilizes the concept of Gauss-Jordan elimination. Every subspace of the standard coordinate space possesses a unique Gauss basis. This observation significantly clarifies many aspects of Linear Algebra. The covered topics are outlined in the table of contents..
出版日期Textbook 2024
關(guān)鍵詞matrix; systems of linear equations; Gauss bases; generalized inverse matrix; Leontiev models; linear pro
版次1
doihttps://doi.org/10.1007/978-3-031-68682-5
isbn_softcover978-3-031-68684-9
isbn_ebook978-3-031-68682-5Series ISSN 2662-2882 Series E-ISSN 2662-2890
issn_series 2662-2882
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 22:49:23 | 只看該作者
2662-2882 sis. This observation significantly clarifies many aspects of Linear Algebra. The covered topics are outlined in the table of contents..978-3-031-68684-9978-3-031-68682-5Series ISSN 2662-2882 Series E-ISSN 2662-2890
板凳
發(fā)表于 2025-3-22 01:45:51 | 只看該作者
地板
發(fā)表于 2025-3-22 05:28:10 | 只看該作者
Gauss-Jordan Elimination,. The fourth system is obtained from the third by substraction the first equation from the second. Finally, the last system in the chain derives from its predecessor by multiplying the second equation by ?1.
5#
發(fā)表于 2025-3-22 08:51:09 | 只看該作者
Textbook 2024maty, Kazakhstan. The program closely aligns with that of the London School of Economics. The textbook extensively utilizes the concept of Gauss-Jordan elimination. Every subspace of the standard coordinate space possesses a unique Gauss basis. This observation significantly clarifies many aspects o
6#
發(fā)表于 2025-3-22 13:51:00 | 只看該作者
Inverse Matrices and Determinants,at row operations do not change these invariants of matrices with one reduced row echelon form. What the row operations do change are the columns at the positions of the leading list, which can be assigned to be an arbitrary linearly independent set of columns. In Section 3.4, one can find constructive formulas for such a recovery.
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發(fā)表于 2025-3-22 18:22:41 | 只看該作者
8#
發(fā)表于 2025-3-22 21:58:45 | 只看該作者
ch Wissenschaft nach entsprechendem administrativen Bedarf professionalisiert und etabliert hat, vor allem: Theorie und Methodik der Instrumentenhandhabung soweit entwickelt sind, da? fundierte und aussagekr?ftige Ergebnisse unter dem Primat analytisch-nomologischer Wissenschaftsauffassung gesellsch
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發(fā)表于 2025-3-23 05:22:18 | 只看該作者
10#
發(fā)表于 2025-3-23 05:47:02 | 只看該作者
Inverse Matrices and Determinants, reduced row echelon form rref(.) of any matrix . uniquely determines the null space N(.), its row space row(.), and the leading list .. This means that row operations do not change these invariants of matrices with one reduced row echelon form. What the row operations do change are the columns at t
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