Matrix Factorization: LU Decomposition

This lecture covers the LU decomposition method for finding a factorization of a matrix A into a lower triangular matrix L and an upper triangular matrix U. The instructor explains the process step by step, showing how elementary row operations are used to transform A into LU. The lecture also discusses the algorithm for constructing the lower triangular matrix L and its properties. Additionally, it explores the relationship between matrix factorization and electrical engineering, illustrating how LU decomposition is related to the design of electrical circuits.