Master determinants with clear definitions and plenty of examples.
This guide introduces the basics of determinants, showing how to form them from square arrays and how their values behave under row and column operations.
Throughout, you’ll see step‑by‑step explanations of leading terms, homogeneous properties, and how to expand determinants by single rows, columns, or minors. The book builds from foundational ideas to more advanced results, with demonstrations that connect theory to practical calculation.
- Learn the formal and ordinary definitions of determinants and what makes them unique
- See how determinants transform when rows or columns are interchanged and how signs change
- Explore expansions, minors, and Laplace’s method with worked examples
- Study multiplication of determinants and how to express products as larger determinants
Ideal for students beginning the study of determinants, or anyone seeking a structured, example‑driven approach to this essential topic.
The book offers a focused introduction suitable for use in schools and colleges, providing a solid foundation for further study in linear algebra.
An Introduction to Determinants: With Numerous Examples for the Use of Schools and Colleges
William Thomson is Elmer B. Milliman Professor of Economics at the University of Rochester.