英语翻译给出两个分块矩阵相似的两个条件,也就是说,如果两个方阵A和B在A2=A和B2=B的条件下,则两个分块矩阵C和D相似的充分必要条件是:AC+CB=C;如果两个方阵A和B在满足A2=0和B2=0的条件下,则两

Question

英语翻译
给出两个分块矩阵相似的两个条件,也就是说,如果两个方阵A和B在A2=A和B2=B 的条件下,则两个分块矩阵C和D相似的充分必要条件是:AC+CB=C;如果两个方阵A和B在满足A2=0和B2=0的条件下,则两个分块矩阵C和D相似的必要条件是:AC+CB=0,且rank(C)
译成英文的

Answer 1

Two sub-block matrix is similar to the two conditions, that is to say, if the two matrices A and B in the A and A2 = B2 = B under the conditions of the two sub-block matrix similar to the C and D nece...