一类矩阵秩恒等的证明

On the Proof of a Class of Matrix Rank Identities

利用矩阵的Jordan标准形,证明了当k1,k2,…,ki是两两互异的数目矩阵A满足一定条件时,关于一类矩阵恒等式的成立.

By using Jordan canonical form of the matrix,it is proved that when number k1,k2,…,ki is difierent each other and matrix A satisify some certain conditions,a class of matrix rank identities is held.