LINEAR INDEPENDENT AND LINEAR DEPENDENT VECTOR FAMILIES. THEORETICAL FOUNDATIONS AND PRACTICAL APPLICATIONS

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Abstract:

The article analyzes the theoretical foundations of families of linearly independent and linearly dependent vectors, which are essential concepts in systems of linear algebra. The conditions under which a system of vectors forms a basis, their relationship with the spatial dimension, and practical applications (specifically, dimensionality reduction in big data analysis) are highlighted.

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How to Cite:

Koshmuratova, . G. M. (2026). LINEAR INDEPENDENT AND LINEAR DEPENDENT VECTOR FAMILIES. THEORETICAL FOUNDATIONS AND PRACTICAL APPLICATIONS. Eurasian Journal of Mathematical Theory and Computer Sciences, 6(3), 14–17. Retrieved from https://www.in-academy.uz/index.php/EJMTCS/article/view/76921

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