Undergraduate Linear Algebra (full course) - Eigenvalues & Diagonalization - Linear Algebra - Lecture 12a (of 23)

Linear algebra is the branch of mathematics that is concerned with linear equations, linear mappings, and their representations in vector spaces and through matrices. The subject is central to most areas of mathematics, science, and engineering. This full and complete course explores all of the linear algebra concepts that you would encounter in a traditional undergraduate linear algebra course, including: fundamental operations with matrices, determinants, eigenvectors and eigenvalues, vector spaces, linear transformations, and much more. This course can be used as a standalone linear algebra course for anybody that wants guidance in their self study or to augment a university level course with additional explanations and lecture material. This particular lecture introduces eigenvalues and the diagonalization of a matrix.