一类4阶矩阵合同的充要条件  

Necessary and Sufficient Conditions for a Class of Fourth-order Matrix Contract

作　　者：李雅玲 陈梅香 杨忠鹏 潘磊 LI Yaling;CHEN Meixiang;YANG Zhongpeng;PAN Lei(School of Mathematics and Finance,Putian University,Putian 351100,China;School of Mathematics and Statistics,Fujian Normal University,Fuzhou 350117,China)

机构地区：[1]莆田学院数学与金融学院,福建莆田351100 [2]福建师范大学数学与统计学院,福建福州350117

出　　处：《北华大学学报（自然科学版）》2021年第5期566-570,共5页Journal of Beihua University（Natural Science）

基　　金：福建省中青年教师教育科研项目(JAT200518);教育部协同育人项目(201901035071).

摘　　要：利用4阶矩阵的2阶复合矩阵与其复合伴随矩阵的性质,给出一类4阶非对称、非反对称矩阵合同的充要条件.丰富了与已有2阶、3阶矩阵结构类似的矩阵合同的研究结果,得到对更高阶矩阵的类似讨论具有指向意义的研究方法.By applying the properties of the second-order compound matrix and its compound adjoint matrices of a fourth-order matrix,the necessary and sufficient conditions for a class of fourth-order asymmetric and non-antisymmetric matrices are given.It not only enriches the existed similar results of the second-order and third-order matrix contract,but also indicates the research method for the higher-order matrin.

关 键 词：矩阵合同 非对称矩阵 非反对称矩阵 正交矩阵 复合伴随矩阵 

分 类 号：O151.21[理学—数学]