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.
@article{bwmeta1.element.doi-10_2478_v10037-006-0001-4,
author = {Yatsuka Nakamura},
title = {Determinant of Some Matrices of Field Elements},
journal = {Formalized Mathematics},
volume = {14},
year = {2006},
pages = {1-5},
zbl = {0264.94018},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-006-0001-4}
}
Yatsuka Nakamura. Determinant of Some Matrices of Field Elements. Formalized Mathematics, Tome 14 (2006) pp. 1-5. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-006-0001-4/
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