Penerapan Konsep Dasar Aljabar Linear Dalam Pemecahan Sistem Persamaan Linear

Authors

  • Leni Karmila Daulay Universitas Negeri Medan
  • Ichwanul Muslim Karo Karo Universitas Negeri Medan

Keywords:

sistem persamaan linear, substitusi, eliminasi Gauss, invers matriks, aljabar linear

Abstract

Sistem persamaan linear merupakan topik penting dalam aljabar linear dan sering digunakan dalam berbagai bidang, seperti matematika, teknik, ekonomi, dan ilmu komputer. Penelitian ini membahas penyelesaian sistem persamaan linear dua dan tiga variabel menggunakan tiga metode utama, yaitu substitusi, eliminasi Gauss, dan invers matriks. Masing-masing metode memiliki langkah-langkah yang berbeda namun menghasilkan solusi yang sama jika diterapkan dengan benar. Hasil penelitian menunjukkan bahwa metode eliminasi Gauss dan invers matriks lebih efisien untuk sistem dengan jumlah variabel yang lebih banyak, sementara metode substitusi cocok digunakan untuk sistem sederhana.

References

Anton, H., & Rorres, C. (2010). Elementary Linear Algebra. Wiley.

Lay, D. C. (2012). Linear Algebra and Its Applications. Pearson.

Nicholson, W. K. (2013). Linear Algebra with Applications. McGraw-Hill.

Nurhaswinda, N., Fitriah, N. U., Aini, A. F., & Natasya, Z. (2025). Penerapan aljabar linear dalam pemodelan sistem dinamis. Cahaya Pelita: Jurnal Pendidikan dan Kebudayaan, 1(2), 82-85.

Umam, M. A., & Zulkarnaen, R. (2022). Analisis kemampuan pemahaman konsep matematis siswa dalam materi sistem persamaan linear dua variabel. Jurnal Educatio Fkip Unma, 8(1), 303-312.

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Published

2025-04-30

Issue

Vol. 3 No. 1 (2025): April 2025

Section

Articles

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