目的给出判断矩阵为对合Pascal矩阵的充要条件。方法利用对合矩阵和对称矩阵的特征。结果给出了判断对合Pascal矩阵的充要条件。结论直接验证了结论的成立,使Pascal矩阵的应用得到更广泛的条件。
Aim To construct the method for discriminating a matrix which is an involutory Pascal matrix.Methods Using character of involutory Pascal matrix and symmetric matrix.Results The sufficient is given and necessary condition was aequired,which can be used to discriminate an involutory Pascal matrix.Conclusion This kind of problem of involutory Pascal matrix arises in many scientific and engineering applications,By using the recursion method and the character of involutory Pascal matrix,the sufficient and necessary condition can be used to discriminate an involutory Pascal matrix.