设A,B分别为m和n阶可逆矩阵,C为m×n矩阵,求
【正确答案】正确答案:令 得 AX 11 +CX 21 =E m ,AX 12 +CX 22 =0,BX 21 =0,BX 2 =E n ,于是X 11 =A -1 ,X 22 =0,X 22 =B -1 ,X 12 =-A -1 CB -1 ,故 AY 11 =E m ,AY 12 =0,CY 11 +BY 21 =0,CY 12 +BY 22 =E n , 于是有Y 11 =A -1 ,Y 12 =0,Y 21 =-B -1 CA -1 ,Y 22 =B -1 ,故
【答案解析】