设 n 阶矩阵 A, B, C 满足 r (A) + r (B ) + r (C ) = r (ABC)+ 2n ,给出下列四个结论:
① r (ABC) + n = r (AB) + r (C ) ;
② r (AB) + n = r (A ) + r (B ) ;
③ r (A) = r (B ) = r (C ) = n;
④ r (AB) = r (BC) = n . 其中正确结论的序号是()
①②
①③
②④
③④
C = E ,满足 r