LU Decomposition is a way to break down a matrix into pieces that are easier to work with. It has two parts, the LU and the Decomposition.
The LU stands for Lower Upper. When you do the decomposition, the matrix is broken down into two parts - the lower part (with all the numbers going downward) and the upper part (with all the numbers going upward).
The Decomposition is when the upper and lower parts are further divided into smaller pieces. This makes it easier to work with the pieces and solve various problems.
In summary, LU Decomposition breaks down a matrix into two parts and then further divides them into smaller pieces to make it easier to work with.