四元数体上矩阵行列式的基本性质

Properties of matrix determinant over the quaternion field

给出了四元数体上自共轭矩阵行列式的Ｓｃｈｕｒ定理，第２降阶定理等一系列基本性质，同时给出了自共轭矩阵为非奇异阵的一个充要条件。

This paper offers theorem Schur of self-conjugate matrix determinant on quaternion field and the seiond lower step theorem etc.At the same time,it also shows that self-conjugate matrix is a sufficient-necessary condition of nonsin-gular matrix.