Linear Algebra: Basis and Canonical Basis

This lecture covers the concept of basis in linear algebra, defining a basis as a set of vectors that are linearly independent and span the vector space. It also introduces the canonical basis, which is a specific basis used to represent vectors in a vector space. The instructor explains how to determine if a set of vectors forms a basis and demonstrates the process of finding the canonical basis. Additionally, the lecture discusses the importance of basis in representing vectors efficiently and accurately in various applications.