Karabakh University Courses
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[MATH260] Linear Algebra 1
Instruction Language
Azerbaijani
Course Description
This part focuses on the fundamental methods for solving systems of linear equations. Students learn the sequential elimination method (Gaussian elimination) for solving arbitrary linear systems. When the number of variables equals the number of equations, the determinant theory is introduced to analyze the system. Using determinants, students determine whether a system has a unique solution, infinitely many solutions, or no solution. In the case of a unique solution, the roots are expressed using Cramer’s Rule. When the number of equations and variables differs, determinant theory is insufficient; therefore, matrix theory is introduced. Students study matrices, vector spaces of real-valued vectors, and the concept of linear dependence as foundational tools for solving linear systems.
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