Generate a system of linear equation through unimodular matrix using Python and Latex

A System of Linear Equation (SLE) that has the same number of equations as the number of variables is called the Determined SLE. But, an SLE with non-integer solutions is a problem for students. This paper can assist teachers in providing exercises on the topic of SPL with integer solutions, so stud...

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Hauptverfasser: Arifin, Samsul, Muktyas, Indra Bayu
Format: Tagungsbericht
Sprache:eng
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Zusammenfassung:A System of Linear Equation (SLE) that has the same number of equations as the number of variables is called the Determined SLE. But, an SLE with non-integer solutions is a problem for students. This paper can assist teachers in providing exercises on the topic of SPL with integer solutions, so students can better understand it. Moreover, a square matrix is said to be unimodular if it has a determinant value of 1 or -1. The inverse of a unimodular matrix and the product of two unimodular matrices is also unimodular. Moreover, the notion of unimodular will facilitate us in determining the solution because it does not involve fractions at all. In this article, a method is given for generating an SLE via a unimodular matrix with Python and Latex. The result is a file with pdf format that contains some Determined SLE with a unique solution in the form of integers. The conclusion is that by using the Python program, we can generate a finite Determined SLE easily with the solutions are integers.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0041651