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任意体上的两类可对角化矩阵及其特征根与行列式
A Two Classes Diagonalization Matrix and Its Characteristic Roots and Determinant on the Division Ring
【摘要】 本文利用体上线性方程组及向量空间的理论,证明了任意体上适合A~2=A,B~2=I的正方矩阵A,B恒可对角化,因而是可中心化的,并且分别求出了它们的特征根与行列式。
【Abstract】 Using the linear equation & vector space theory on the division ring,the following theorem is proved in this paper.The theorem is as follows.Let A & B be square matrixes and satisfy A2=A,B2=I then it can be diagonalized hence centralized.Its characteristic determinant & roots are also given.
- 【文献出处】 长春邮电学院学报 ,Journal of Changchun Post and Telecommunication Institute , 编辑部邮箱 ,1990年03期
- 【被引频次】1
- 【下载频次】61