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.

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

Autorentext

Sergey Khrushchev is a Full Professor at Satbaev University, where he has been serving since August 1, 2018. Previously, he was a Full Professor at the International School of Economics at Kazakh-British Technical University from August 1, 2011, to May 31, 2018. He also held professorship positions at Eastern Mediterranean University in North Cyprus (2008-2010) and Atilim University in Ankara, Turkey (2001-2008).

Inhalt

Gauss-Jordan Elimination.- Gauss Bases.- Inverse Matrices and Determinants.- Vector Spaces.- Diagonalization.- Inner Product Spaces.- Regression.- References.- Index.