LU decomposition is a method that, even for those without a deep understanding of mathematics, can be understood as a way to break down a large problem into smaller parts to solve it more efficiently. By doing so, complex calculations can be handled faster and more effectively. Similar to solving a large puzzle by breaking it into smaller pieces, LU decomposition is extremely useful when solving large mathematical problems.

This method is often used when computers perform complex mathematical calculations, particularly in solving systems of linear equations or handling matrices. LU decomposition is applied in various fields of engineering and science, helping to simplify real-world problems.

Although LU decomposition might seem challenging at first, once you grasp its concept, it becomes a powerful tool in mathematics and computer science.