Determinant of Some Matrices of Field Elements

• Autorzy: Yatsuka Nakamura
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2006
• Tom: 14
• Numer: 1
• Strony: 1-5

Daty

wydano

2006-01-01

online

2008-06-13

Twórcy

autor

Yatsuka Nakamura

• Shinshu University, Nagano, Japan, [e-mail]

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Identyfikatory

DOI

10.2478/v10037-006-0001-4