Explore LU-Decomposition, also known as LU-factorization, in this 21-minute video tutorial on linear algebra. Learn how to use this technique to solve nxn linear systems efficiently, especially when dealing with constant coefficient matrices and changing constant vectors. Follow a step-by-step guide on finding LU-decompositions, understand the theorem determining when it's possible to find them, and see practical applications in solving linear systems. Dive into examples demonstrating the LU-Decomposition method, including a detailed walkthrough of the process. Gain valuable insights into this important concept in linear algebra, enhancing your problem-solving skills for complex matrix operations.