Abstract
The general definition of a determinant of order n, by cofactor expansion along the ith row. The value of the determinant is independent of the choice of i. Expanding a determinant by a row or a column in terms of the cofactors of the same row or column, yields the determinant. Expanding by a row or a column in terms of the cofactors of a different row or column, yields 0.
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References
Most of the formulas are standard and can be found in almost any linear algebra text, e.g. Fraleigh and Beauregard (1995) or Lang (1987). See also Sydsæter and Hammond (2005). A standard reference is Gantmacher (1959).
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© 2010 Springer-Verlag Berlin Heidelberg
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Sydsæter, K., Strøm, A., Berck, P. (2010). Determinants. In: Economists’ Mathematical Manual. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28518-2_20
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DOI: https://doi.org/10.1007/978-3-540-28518-2_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26088-2
Online ISBN: 978-3-540-28518-2
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