(m,l)幂等矩阵的代数等价与正交的一些性质

Some Properties on the Algebraic Equivalence and Orthogonality of (m,l) Idempotent Matrix

应用数域上(m,l)幂等矩阵与m幂等矩阵的关系,得到了数域上(m,l)幂等矩阵的l次方幂的代数等价、相似和特征多项式相等是互为确定的结论,由此推广改进了数域上m幂等矩阵的代数等价与正交性的相应结果.

By applying the relationship between （m, l） idempotent matrices and m- potent ones over number field, this paper obtains the conclusion that algebraic equiva- lence, similarity and the same characteristic polynomial of l-th power of （m, l） idempotent matrices over number field are determined to each other, then generalizes and improves the corresponding results about algebraic equivalence and Orthogonality of m-potent matrix over number field.