反对合矩阵的秩等式

数学季刊 ›› 2013, Vol. 28 ›› Issue (2): 311-316.

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反对合矩阵的秩等式

Department of Automotive Engineering, Nanyang Vocational College of Agriculture

收稿日期:2013-03-20 出版日期:2013-06-30 发布日期:2023-03-03
作者简介:WANG Shi-heng(1965-), male, native of Nanyang, Henan, a senior lecturer of Nanyang Vocational College of Agriculture, M.S.D., engages in advanced algebra.

Rank Equalities for Anti-involutory Matrices

Department of Automotive Engineering, Nanyang Vocational College of Agriculture

Received:2013-03-20 Online:2013-06-30 Published:2023-03-03
About author:WANG Shi-heng(1965-), male, native of Nanyang, Henan, a senior lecturer of Nanyang Vocational College of Agriculture, M.S.D., engages in advanced algebra.

摘要/Abstract

摘要： Some rank equalities are established for anti-involutory matrices. In particular, we get the formulas for the rank of the difference, the sum and the commutator of anti-involutory matrices.

关键词: rank equality, idempotent matrix, involutory matrix, anti-involutory matrix; partitioned matrix, generalized inverse, commutator

Abstract: Some rank equalities are established for anti-involutory matrices. In particular, we get the formulas for the rank of the difference, the sum and the commutator of anti-involutory matrices.

Key words: rank equality, idempotent matrix, involutory matrix, anti-involutory matrix; partitioned matrix, generalized inverse, commutator

中图分类号:

O151.21

王世恒. 反对合矩阵的秩等式[J]. 数学季刊, 2013, 28(2): 311-316.

WANG Shi-heng. Rank Equalities for Anti-involutory Matrices[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(2): 311-316.

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反对合矩阵的秩等式

Rank Equalities for Anti-involutory Matrices

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