Partially Ordered Group of the 2×2 Symmetric Matrices
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.
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DOI: 10.15408/inprime.v1i2.13701
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