Galois Theory and Advanced Linear Algebra

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Focusing on Galois theory and advanced linear algebra, this textbook is structured into four chapters and introduces numerous new theorems. It is designed for undergraduate students, providing insights into key topics such as the Cayley-Hamilton theorem, Galois groups, and Sylvester's law of inertia. The content is accessible, aiding in the understanding of related subjects like Riemannian geometry. A foundational knowledge of groups, rings, fields, and vector spaces is recommended for readers to fully benefit from the material presented.