Lestanto, Yusuf (2025) Modul Panduan - Linear System Solution. [Teaching Resource] (Unpublished)
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Abstract
Linear systems are fundamental concepts in mathematics and engineering, encompassing a set of linear equations that can be represented and solved using various methods. These systems are widely used to model real-world problems and relationships between variables. A linear system can be expressed in matrix form as Ax = b, where A is the coe cient matrix, x is the vector of unknowns, and b is the constant vector. There are several approaches to solving linear systems, including substitution, elimination, and matrix methods. The graphical method is useful for visualizing two-dimensional systems, where the solution is represented by the intersection point of lines. For larger systems, more advanced techniques like Gaussian elimination and Gauss-Jordan elimination are employed to transform the augmented matrix into row echelon or reduced row echelon form. The nature of solutions in linear systems can vary. A system may have a unique solution, infinitely many solutions, or no solution at all. The number of solutions is determined by the relationship between the equations and can be analyzed using concepts such as linear independence, rank, and determinants. Understanding these properties is crucial for interpreting the behavior of linear systems and their applications in various fields, from physics to economics.
| Item Type: | Teaching Resource |
|---|---|
| Subjects: | Computer Science > Computer - Software Science Paper > Course Material |
| Divisions: | Lembaga Pengabdian Kepada Masyarakat |
| Depositing User: | Ahmad Yani |
| Date Deposited: | 20 Feb 2025 06:34 |
| Last Modified: | 20 Feb 2025 06:34 |
| URI: | https://repository.bakrie.ac.id/id/eprint/11241 |
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