一道高等代数考研试题的探讨  

A Discussion on a Linear Algebra Problem in the Postgraduate Entrance Examination

作　　者：黄山林 HUANG Shan-lin(School of Mathematics and Statistics,Huazhong University of Science and Technology,Wuhan 430074, China)

机构地区：[1]华中科技大学数学与统计学院

出　　处：《大学数学》2019年第3期121-123,共3页College Mathematics

基　　金：国家自然科学基金(11801188);华中科技大学2018自主创新项目(2018KFYYXJJ041)

摘　　要：从2018年一道关于三阶行列式最大值问题的考研试题出发,进一步探讨高阶情形以及相应复数域的推广,并给出其与Hadamard矩阵之间的内在联系.From a maximal determinant problem of order three in the postgraduate entrance examination in 2018,higher dimensional generalizations as well as the case of complex variables are discussed.The link between Hadamard matrix is also given.

关 键 词：行列式 HADAMARD矩阵 HADAMARD不等式 高等代数 

分 类 号：O151.2[理学—数学]