| 四元数阵重行列式与复阵行列式的关系 |
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| 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. |
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| 作者姓名： | 陈福元 |
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| 作者单位： | 福建省龙岩师专!龙岩，364000 |
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| 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．
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| 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. |
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| Authors: | Chen Fuyuan |
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| 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 |
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| Keywords: | Quaternion matrix double determinant inverse matrix rank of matrix |
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