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Linear Algebra

In: ESSENTIAL MATHEMATICS FOR ECONOMICS A Student’s Guide to Key Mathematical Techniques

Author

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  • VASILEIOS ZIKOS

Abstract

After completing this chapter, students will be able to:Understand necessary and sufficient conditions.Perform matrix operations.Derive the transpose of a matrix.Derive the inverse of a matrix.Calculate cofactors and determinants.This chapter focuses on the study of necessary and sufficient conditions, as well as the basic concepts of matrix algebra. It begins by explaining the distinction between necessary and sufficient conditions, and how they describe the relationship between two statements. The chapter then introduces the basic elements of matrix algebra, emphasizing concepts that will be useful later in the book, especially for solving optimization problems.

Suggested Citation

  • Vasileios Zikos, 2026. "Linear Algebra," World Scientific Book Chapters, in: ESSENTIAL MATHEMATICS FOR ECONOMICS A Student’s Guide to Key Mathematical Techniques, chapter 1, pages 1-23, World Scientific Publishing Co. Pte. Ltd..
    • Handle: RePEc:wsi:wschap:9789819814114_0001
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    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • D00 - Microeconomics - - General - - - General
    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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