Math Problem Statement

Untuk menentukan apakah sistem persamaan linear berikut konsisten atau tidak, kita bisa menggunakan eliminasi Gauss. Sistem persamaan yang diberikan adalah: 3x-2y+4z=-54, -x+y-2z=20, 5x-4y+8z=-83

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Systems of Linear Equations
Gaussian Elimination

Formulas

Augmented Matrix
Row Echelon Form
Elementary Row Operations

Theorems

Gaussian Elimination Theorem
Consistency of Linear Systems

Suitable Grade Level

Grades 10-12