Singular value decomposition

Singular Value Decomposition (SVD) is a way to break a big matrix (a rectangular table) into different parts. It can help us understand the parts that make up a bigger picture. It is like cutting a cake into slices or taking apart a jigsaw puzzle--the pieces are separate, but together they make up the whole. To use SVD to solve a problem, we first start with a big matrix. Then, with the help of special math, the big matrix is cut into pieces. Each piece is a part of the big matrix, but it is a smaller and simpler puzzle part. All the pieces can be put back together to make the big matrix again. Finally, we can use the pieces to solve the problem.