利用有限域上一般线性群的BN对分解,给出有限域上的可逆矩阵在置换阵相似变换下的标准形。
We got the standard form of nonsingular matrix over the finite field by means of BN pair decomposition under the similarity transformation of the permutation matrix.
讨论相似矩阵的一些标准型,给出一般域F上矩阵的一种有理标准形式,提供它变到若尔当标准型的相似变换。
This paper discusses some canonical forms of similar matrices in a general field F, gives a kind of rational forms in the field and a similar transformation from it to Jordan form.
主要对定义在一般数域上的3 -幂零矩阵的相似等价类的个数问题进行探讨。
In this paper, we mainly discuss the enumeration problem of the equivalence class of 3-nilpotent matrix defined in normal number fields.
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