利用投影矩阵正交分解构造正交表时,经常用到小正交表的矩阵象,而这些小正交表的矩阵象用矩阵象定义求解时却显得有些烦琐.在一些文献中出现了求解正交表矩阵象的简便方法.本文对这种求解方法给出了初等证明.
When one constructs orthogonal arrays by using orthogonal decomposition of projection matrix, matrix image of smaller orthogonal array is necessary. But it is difficult to obtain matrix image of small orthogonal array from its definition sometimes. A kind of method for finding matrix image more easily appears in literature. In this paper we give an elementary proof for this method.