摘要
在注意到由谢邦杰定义的四元数矩阵的行展开式与陈龙玄定义的四元数矩阵的行列式之间联系与差异的基础上,给出了一个新的自共轭矩阵的行列式的展开定理,由此可得到四元数矩阵逆的新的显示公式及Cramer解式.
On the basis of relation and distinguish between the row expansion and determinant of quaternion matrix, which are respectively defined by Xie Bangjie and Chen Longxuan, a new expansion theorem about the determinant of self conjugate matrix was given, therefore, the new explict formula and Cramer solving expression of quaternion matrix's inverse were derived.
出处
《北华大学学报（自然科学版）》
CAS
2001年第2期104-111,共8页
Journal of Beihua University（Natural Science）
关键词
四元数矩阵
行展开式
行列式
自共轭矩阵
重行列式
逆矩阵
显示公式
Vramer解式
Row expansion of quaternion matrix
Determinant of quaternion matrix
Self conjugate
Mutiple determinant
Explict formula of inverse matrix
Cramer solving expression
