Название: Linear Algebra with Applications to Economics Автор: Sergey Khrushchev Издательство: Springer Год выхода: 2024 Страниц: 393 Формат: True PDF Размер: 10,6 MB Язык: английский
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.
Overview • 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 ChatGPT Plus into the educational content • Offers a practical approach, avoiding abstract theories and providing rigorous proofs illustrated with concrete examples