一类矩阵的秩恒等式

The Rank Identities of a Class of Matrix

利用计算不为0的特征值的个数来计算矩阵的秩,得到一类矩阵秩的几个矩阵秩恒等式,并给出它们的应用。

The rank of a matrix can be obtained by calculating the number of its eigenvalues which are not 0.In this paper,by calculating the rank of a matrix,several rank identical relations of a class of matrix are obtained and some applications are given.