证明:由已知,存在n阶可逆矩阵P,满足 P^-1AP = B存在m阶可逆矩阵Q,满足 Q^-1CQ = D.令 H = diag(P,Q),即 H=P 00 Q则有H^-1 diag(A,C) H = diag (P^-1AP,Q^-1CQ) = diag(B,D)即 主对角线为A,C的分块矩阵和主对角线为B,...