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Explore the fundamental concept of linear independence in this 39-minute lecture from NPTEL-NOC IITM. Delve into the mathematical principles that define when a set of vectors is linearly independent or dependent. Gain a solid understanding of this crucial topic in linear algebra, which forms the foundation for more advanced concepts in vector spaces and matrix theory. Learn to analyze and determine the linear independence of vector sets, a skill essential for solving complex problems in mathematics, physics, and engineering.