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Formalized Mathematics

(a computer assisted approach)

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Volume 14, Issue 1 (Jan 2006)

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Determinant of Some Matrices of Field Elements

Yatsuka Nakamura
  • Shinshu University, Nagano, Japan, ynakamur@cs.shinshu-u.ac.jp
Published Online: 2008-06-13 | DOI: https://doi.org/10.2478/v10037-006-0001-4

Determinant of Some Matrices of Field Elements

Here, we present determinants of some square matrices of field elements. First, the determinat of 2 * 2 matrix is shown. Secondly, the determinants of zero matrix and unit matrix are shown, which are equal to 0 in the field and 1 in the field respectively. Thirdly, the determinant of diagonal matrix is shown, which is a product of all diagonal elements of the matrix. At the end, we prove that the determinant of a matrix is the same as the determinant of its transpose.

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About the article


Published Online: 2008-06-13

Published in Print: 2006-01-01



Citation Information: Formalized Mathematics, ISSN (Online) 1898-9934, ISSN (Print) 1426-2630, DOI: https://doi.org/10.2478/v10037-006-0001-4. Export Citation

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