一类矩阵秩的性质推广

Generalization of the Properties of the Rank of a Class of Matrices

在AK=0,AK=A,AK=E(K≥3)的条件下,证明了A+KiE(i=1,2,...t)这类矩阵秩的恒等式成立的条件,并给出该等式的具体表达式,改进了当A2=0,A2=A时,一类矩阵秩的恒等式成立的条件。

Under the condition of AK=0,AK=A,AK=E(K≥3), this paper proved the conditions for the establishment of identical relation about the rank of a class of matrices that A+KiE(i=1,2,...t), gave the specific expression of the equality, when A2=0, A2=A, and improved the conditions for the establishment of identical relation about the rank of a class of matrices.