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| 四元数阵重行列式与复阵行列式的关系 | |
| 引用本文： | 陈福元. 四元数阵重行列式与复阵行列式的关系[J]. 数学研究, 1997, 30(3): 241-248 |
| 作者姓名： | 陈福元 |
| 作者单位： | 福建省龙岩师专!龙岩，364000 |
| 摘 要： | 指出四元数阵重行列式可用复阵行列式来表示，于是，复阵的伴随矩阵、求逆阵公式、秩的下界等，都可相应地推广到四元数阵． |
| 关 键 词： | 四元数阵 重行列式 逆阵 秩 |
Relations between double determinants of quaternion matrices and determinants of complex matrices |
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| Chen Fuyuan. Relations between double determinants of quaternion matrices and determinants of complex matrices[J]. Journal of Mathematical Study, 1997, 30(3): 241-248 | |
| Authors: | Chen Fuyuan |
| Abstract: | This paper extends the results of the reference [1]. It shows that the double determi-nant of a quaternion matrix can be represented by a determinant of complex matrix. And in the com-plex matrices, the adjoint matrix, finding inversc formula, estimate of the rank lower bound,Hadamard's theorem and the Sehur's inequality can be generalized to the quatemion matrices |
| Keywords: | Quaternion matrix double determinant inverse matrix rank of matrix |
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