【摘要】 设Q为实四元数体,本文给出了Q上两个自共轭矩阵之积的特征,并证明了Q上幂等矩阵是两个自共轭矩阵之积。最后给出了Cochran定理在体上推广的一个新的证明。更多还原

【Abstract】 Let Q be a real quaternion. In this paper we give a characteristics of products of two self-conjugate matrices in Q. Moreover, we prove that an idempotent matrix is a product of two self-conjugate matrices over Q. Finally, we give a new proof on generalization of Cochran theorem over any skew field.更多还原