一类矩阵的计数问题研究

The Counting Problem of a Class of Matrices

利用中国剩余定理,解决了复数域、实数域、有理数域以及有限域Fq上的循环对合矩阵的计数问题,并给出有限域F2k上循环对合矩阵的具体结构形式。

Following the Chinese Remainder Theorem, this paper presents a solution to the problem of counting circular involution matrices over complex number fields, real number fields, rational number fields and finite fields. The specific structure of circular involution matrices over the finite field of 2k elements is discussed.