Partially Ordered Group of the 2×2 Symmetric Matrices

Irmatul Hasanah

Abstract


Abstract

This paper deals with the partially ordered group of the 2×2 symmetric matrices. A matrix is defined to be a positive if each entry of the matrix is positive. With the characterization of the 2×2 symmetric matrix, we construct the positive cone such that the set of the matrices constructs partially ordered group.

Keywords: Symmetric Matrix, Group-Ordered, Positive Cone.

 

Abstrak

Artikel ini membahas grup terurut parsial pada matriks simetri berukuran 2×2. Suatu matriks dikatakan positif jika setiap entri pada matriks bernilai positif. Melalui karakteristik dari matriks simetri, akan dikonstruksi sebuah positif cone sehingga matriks simetri berukuran 2×2  merupakan grup terurut parsial.

Kata kunci: Matriks Simetri, Grup Terurut, Positif Cone.


References


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DOI: 10.15408/inprime.v1i2.13701

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