Design of products often is spending time and money, especially for those products which are combining with patents. To analysis the relative patent citation of existing product and extend the future products are one of potential solutions. In this study, the matrix representation of the patent citation and the interpretation of different types of product fields are presented. A decomposition approach is used to simplify the relationship of patent citation. This paper applies the matrices and the algorithm aims of develop the possible extending patents and make them to form new products.