# Determinant of Some Matrices of Field Elements

Formalized Mathematics (2006)

- Volume: 14, Issue: 1, page 1-5
- ISSN: 1426-2630

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topYatsuka Nakamura. "Determinant of Some Matrices of Field Elements." Formalized Mathematics 14.1 (2006): 1-5. <http://eudml.org/doc/266969>.

@article{YatsukaNakamura2006,

abstract = {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.},

author = {Yatsuka Nakamura},

journal = {Formalized Mathematics},

language = {eng},

number = {1},

pages = {1-5},

title = {Determinant of Some Matrices of Field Elements},

url = {http://eudml.org/doc/266969},

volume = {14},

year = {2006},

}

TY - JOUR

AU - Yatsuka Nakamura

TI - Determinant of Some Matrices of Field Elements

JO - Formalized Mathematics

PY - 2006

VL - 14

IS - 1

SP - 1

EP - 5

AB - 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.

LA - eng

UR - http://eudml.org/doc/266969

ER -

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## Citations in EuDML Documents

top- Karol Pak, Andrzej Trybulec, Laplace Expansion
- Grzegorz Bancerek, Towards the Construction of a Model of Mizar Concepts
- Nobuyuki Tamura, Yatsuka Nakamura, Determinant and Inverse of Matrices of Real Elements
- Karol Pąk, Basic Properties of the Rank of Matrices over a Field
- Grzegorz Bancerek, Term Context
- Karol Pąk, The Rotation Group

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