A Pascal-like matrix is constructed whose row entries are the terms of the modified Hermite polynomials of two variables. The multiplication of the two Pascal-like matrices and the power and inverse of the Pascal-like matrix have very similar results to the well-known Binomial Matrix, and the factorization of the Pascal-like matrix has also been given, which is completely similar to the factorization of Binomial Matrix. Furthermore, two simple examples are given to show the application of the power and factorization properties of the Pascal-like matrix. Finally, a generalization of the Pascal-like matrix is given and some combinatorial identities are obtained such as Tepper-like identity.

构造了一个类 Pascal 矩阵，其行条目是两个变量的修正 Hermite 多项式的项。两个类帕斯卡矩阵的乘法和类帕斯卡矩阵的幂和逆与众所周知的二项式矩阵有非常相似的结果，并且也给出了类帕斯卡矩阵的因式分解，完全类似二项式矩阵的分解。此外，还给出了两个简单的例子来展示类帕斯卡矩阵的幂和分解特性的应用。最后，给出了类Pascal矩阵的推广，并得到了一些组合恒等式，例如Tepper-like恒等式。