满足条件A*=-A3的矩阵性质研究

刘慧娟; 曲双红

doi:10.12187/2020.06.013

December 2020

Article Contents

LIU Huijuan and QU Shuanghong. Research on the properties of matrices suited to A*=-A3[J]. Journal of Light Industry, 2020, 35(6): 105-108. doi: 10.12187/2020.06.013

Citation: LIU Huijuan and QU Shuanghong. Research on the properties of matrices suited to A*=-A3[J]. Journal of Light Industry, 2020, 35(6): 105-108. doi: 10.12187/2020.06.013 shu

Research on the properties of matrices suited to A^*=-A³

LIU Huijuan ¹ ,
QU Shuanghong ²

1. General Education Center, Zhengzhou Business University, Gongyi 451200, China;
2. College of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou 450002, China

Received Date: 2020-05-24

Abstract

Using the concepts and theories of normal matrix, conjugate transpose matrix and singular value decomposition and so on, the matrix A suited to A^*=-A³ was found to be diagonalizable ; other results on this kind of matrices such as distribution of the possible characteristic values, formula (A⊗B)^*=(A⊗B)³, singular value decomposition and the sufficient and necessary conditions for the establishment of the formula were also investigated.
- normal matrix,
- conjugate transpose matrix,
- diagonalization,
- distribution of characteristic values,
- matrix property
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