Matrix Algebra by Marco Taboga
Matrix Algebra by Marco Taboga - Table of Contents
PART I: FOUNDATIONS & LINEAR MAPS
- 1. The algebra of numeric arrays
- 2. Linear spaces
- 3. Matrix rank and inversion
- 4. Linear maps
- 5. Systems of linear equations
- 6. Special matrices and equivalence
- 7. Complex vectors and inner products
- 8. Determinants
PART II: ADVANCED MATRIX ANALYSIS
- 9. Polynomials
- 10. Eigenvalues and eigenvectors
- 11. Matrix polynomials
- 12. Jordan form
- 13. Kronecker products and vectorizations
- 14. Matrix functions
- 15. Applications
What You Will Learn in Matrix Algebra by Marco Taboga
Matrix Algebra by Marco Taboga is a comprehensive, mathematically rigorous textbook designed to bridge foundational linear algebra and advanced matrix analysis used in econometrics, statistics, and applied mathematics. This thorough volume guides readers through linear spaces, matrix rank, linear maps, Jordan forms, Kronecker products, and matrix functions with exceptional structural clarity and analytical precision.
Designed for graduate students, economists, statisticians, and quantitative researchers, this foundational text prioritizes complete mathematical derivations alongside practical matrix operations. Taboga provides step-by-step proofs for core theorems, covering complex inner products, matrix polynomials, and vectorization techniques. Whether you are studying multivariate statistics, econometrics, or advanced linear systems, this book offers an indispensable roadmap.
Recognized globally for its clear layout and open-access pedagogy, it remains one of the best matrix algebra books for self-study. By balancing abstract vector space theory with advanced computational methods, it serves as an essential tool for mastering modern matrix algebra with confidence.
Book Details & Specifications
Title:
Matrix Algebra by Marco Taboga
Publisher:
StatLect
Year:
2021
Pages:
320
Type:
PDF
Language:
English
ISBN-10 #:
B096J3C6GR
ISBN-13 #:
979-8514136292
License:
External Educational Resource
Amazon:
Amazon
About the Author: Marco Taboga
The author Marco Taboga
, PhD, is a financial economist, researcher, and quantitative analyst with extensive experience in central banking and monetary economics. He earned his doctorate in economics and has published widely on quantitative finance, risk management, and econometrics, as well as creating Statlect—a comprehensive digital learning resource for probability, statistics, and matrix algebra.
Driven by a commitment to rigorous, accessible online education, Taboga authored Matrix Algebra to provide a clear, fully proven foundation in matrix analysis for students of data science, finance, and economics. His structured writing style, focus on step-by-step derivations, and logical flow make this text a classic reference for quantitative matrix theory that continues to be trusted by learners worldwide.
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