四元数体上若干线性代数问题的显式

吴世锦

数学学报 ›› 2001, Vol. 44 ›› Issue (5) : 837-842.

PDF(391 KB)
PDF(391 KB)
数学学报 ›› 2001, Vol. 44 ›› Issue (5) : 837-842. DOI: 10.12386/A2001sxxb0107
论文

四元数体上若干线性代数问题的显式

    吴世锦
作者信息 +

Obvious Formulas of a Certain Number Linear Algebra Problems over Quaternion Field

    Shi Jin WU
Author information +
文章历史 +

摘要

通过建立四元数乘积的一个弱可交换律,分别给出四元数体上的线性方程组的解和克莱姆解式、向量的相关性、矩阵的逆与秩以及线性变换的特征根与特征向量等存在性的充要条件,从而得到这些问题的一种有效计算方法.

Abstract

This paper gives differently a necessary and sufficient condition of existence of the solutions and Cramer formulas of linear equations, the related property of vector, opposite and rank of matrix, and characteristic root and characteristic vector of linear transformation etc by setting up a weakly exchangaeble law of quaternion product, and obtain a effective solution of the problems.

关键词

克莱姆法则 / 逆矩阵 / 特征向量 / 弱可交换性 / 四元数体

引用本文

导出引用
吴世锦. 四元数体上若干线性代数问题的显式. 数学学报, 2001, 44(5): 837-842 https://doi.org/10.12386/A2001sxxb0107
Shi Jin WU. Obvious Formulas of a Certain Number Linear Algebra Problems over Quaternion Field. Acta Mathematica Sinica, Chinese Series, 2001, 44(5): 837-842 https://doi.org/10.12386/A2001sxxb0107
PDF(391 KB)

Accesses

Citation

Detail

段落导航
相关文章

/