This short course is intended for beginners and, therefore, it contains only basic information on the determinant. A recursive definition of the determinant is given based on the Laplace expansion. It is shown how to compute determinants of different orders on the basis of the definition, using Laplace's formula against any row or column, and by means of elementary operations. Basic theorems are given to facilitate the calculation of determinants. The content is illustrated with numerous solved examples, with self-testing examples and answers provided at the end of the course.
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