Pengembangan Aplikasi untuk Solusi Persamaan Linear Menggunakan Metode Eliminasi Gauss dengan Substitusi Terbalik

Mohamad Yusuf, Agil Dwiki Yudistira, Sebastianus Lukito, Alhamdi Rifai, Ridho Pangestu

Abstract


Matematika berperan penting dalam berbagai aspek kehidupan, terutama dalam pemahaman dan pemodelan fenomena menggunakan persamaan linear. Metode Eliminasi Gauss dengan Substitusi Terbalik merupakan teknik kunci dalam menyelesaikan sistem persamaan linear, yang memungkinkan transformasi matriks untuk menyederhanakan persamaan menjadi bentuk yang lebih teratur. Penelitian ini berfokus pada pengembangan aplikasi web yang mengimplementasikan metode ini, bertujuan untuk menyajikan solusi persamaan linear dengan cara yang lebih interaktif dan memudahkan pemahaman. Aplikasi dirancang menggunakan TypeScript dan Next.js, menawarkan antarmuka pengguna yang responsif dan memfasilitasi visualisasi langkah demi langkah dari proses penyelesaian. Hasil pengujian menunjukkan efektivitas aplikasi dalam memberikan solusi yang akurat, serta kinerja dan kegunaan yang tinggi. Penelitian ini membuka jalan bagi pendekatan pembelajaran matematika yang lebih interaktif dan meningkatkan pemahaman konsep persamaan linear dan metode penyelesaiannya.


Keywords


Persamaan linear;Eliminasi Gauss;Aplikasi Web

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DOI: http://dx.doi.org/10.22441/fifo.2024.v16i1.002

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