应用Mathematica软件解决两类矩阵问题

Solving Two Matrix Problems by Using Mathematica

整数矩阵和置换矩阵是矩阵理论中非常重要的两类矩阵,文章通过整数矩阵的判定和求解矩阵的全体置换这两个实例,介绍Mathematica软件在矩阵计算中的应用,显示出Mathematica软件在科学计算中的优势.

Integral matrices and permutation matrices are the two kinds of important matrices in matrix theory.We solve two matrix problems using mathematica in this paper.One is how to determine whether some matrix is integral matrix and the other is to generate all permutations of some given matrix.Some applications of mathematica in matrix computation are introduced,which shows the superiority of mathematicain scientific computation.