ROW DETERMINANT OF THE MATRIX OF THE N-TH ORDER OF MATRICES DEFINED OVER THE BODY OF QUATERNION NUMBERS AND ITS PROPERTIES: ROW DETERMINANT OF THE MATRIX OF THE N-TH ORDER OF MATRICES DEFINED OVER THE BODY OF QUATERNION  ....

doi:10.56292/SJFSU/vol31_iss4/a%p

Mualliflar

Fergana State University

https://orcid.org/0000-0002-2445-749X
Farg'ona davlat universiteti

https://orcid.org/0009-0007-6002-3246
Farg'ona davlat universiteti

https://orcid.org/0009-0006-3383-2454

DOI:

https://doi.org/10.56292/SJFSU/vol31_iss4/a%25p

Kalit so‘zlar:

quaternion number; quaternion matrix; row determinant

Annotatsiya

This paper studies the row determinant of square matrices defined over the skew field of quaternion numbers and its properties. The row determinant of a square matrix by the -row is defined as the algebraic sum of products of elements taken from each row of the square matrix, once. Each row determinant by the -row has different values and differs from the determinant of a commutative matrix. At the same time, some properties are preserved. These properties were proved using the definition of row determinants

Mualliflar haqida

, Fergana State University

Farg‘ona davlat universiteti, fizika-matematika fanlari bo ‘yicha falsafa doktori, (PhD)
, Farg'ona davlat universiteti

Farg‘ona davlat universiteti talabasi
, Farg'ona davlat universiteti

Farg‘ona davlat universiteti 3-bosqich talabasi

Adabiyotlar

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ROW DETERMINANT OF THE MATRIX OF THE N-TH ORDER OF MATRICES DEFINED OVER THE BODY OF QUATERNION NUMBERS AND ITS PROPERTIES