2010•Journal for History of MathematicsRequires access

Is vector theory prior to matrix theory in teaching of linear algebra

Hong Kyung Pak, Tae‐Wan Kim

Abstract

Today linear algebra is one of compulsory courses for university mathematics by virtue of its theoretical fundamentals and fruitful applications. Vector theory and matrix theory constitute of main topics in linear algebra. In the present paper we consider the question which of the two topics is prior in teaching of linear algebra. We suggest that vector theory should be prior to matrix theory contrary to the historical order of them.

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Key concepts: Linear algebra, Algebra over a field, Mathematics, Matrix (chemical analysis), Matrix algebra, Pure mathematics, Eigenvalues and eigenvectors, Physics