Matriks Skew-simetris dan Sifat-sifatnya

Authors

  • Wirdatul Hasanah Program Studi Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Negeri Padang , Indonesia
  • Yusmet Rizal Program Studi Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Negeri Padang , Indonesia

DOI:

https://doi.org/10.31004/jptam.v8i2.14865

Keywords:

Matriks Skew-Simetris, Nilai Eigen, Determinan

Abstract

Matriks adalah susunan bilangan-bilangan berbentuk persegi panjang yang terdiri atas baris dan kolom, dimana bilangan-bilangan dalam susunan disebut entri. Nama sebuah matriks menggunakan huruf kapital. Berdasarkan ukurannya, matriks terbagi dua, yaitu matriks bujur sangkar dan matriks tak bujur sangkar. Matriks skew-simetris adalah matriks bujur sangkar yang elemen-elemen pada baris dan kolom yang sama bernilai berlawanan tanda . Tujuan dari penelitian ini untuk mengetahui bagaimana matriks Skew-simetris dan sifat-sifatnya. Konsep yang akan dibahas pada penelitian ini adalah bagaimana sifat-sifat matriks skew-simetris terkait dengan penjumlahan matriks dan perkalian skalar, menentukan nilai determinan dari matriks Skew-simetris, menentukan nilai eigen dari matriks Skew-simetris, matriks nonsingular dan matriks ortogonal yang terkait dengan matriks skew-simetris. Hasil dari penelitian ini menyimpulkan beberapa sifat-sifat dari matriks skew-simetris menunjukkan matriks skew-simetris dengan ukuran yang sama dikalikan dengan skalar sebarang serta dijumlahkan sesama matriks skew-simetris akan menghasilkan matriks skew-simetris serta menghasilkan determinan nol dan nilai eigen nol atau imajiner.

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Published

10-05-2024

How to Cite

Hasanah, W., & Rizal, Y. (2024). Matriks Skew-simetris dan Sifat-sifatnya. Jurnal Pendidikan Tambusai, 8(2), 17573–17580. https://doi.org/10.31004/jptam.v8i2.14865

Issue

Vol. 8 No. 2 (2024)

Section

Articles of Research

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