Foundations of Linear Algebra

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Aimed at mathematics majors, this textbook offers a comprehensive one-year course in linear algebra, presuming students have prior knowledge in set theory, mathematical induction, and calculus. It emphasizes both abstract theory and practical applications, particularly in algebraic coding theory and computer science. The text incorporates computational aspects later in the course, assuming students are proficient in programming by that stage. Key topics include finite fields and the solution of linear equations, tailored for those with a mathematical and computational background.