Explore the fundamental concepts of linear algebra in this 17-minute video lecture, focusing on linear combinations and span. Delve into a comprehensive recap of previous topics before diving into the core subject matter. Gain a clear understanding of linear combinations and their significance in vector spaces. Examine the concept of span and its role in defining vector subspaces. Visualize these abstract ideas through graphical illustrations, enhancing your comprehension of the material. Benefit from the expertise of NPTEL-NOC IITM instructors as they guide you through this essential topic in linear algebra.