(E-AB)A=A-ABA=A(E-BA) =>A=(E-AB)^(-1)A(E-BA)E=E-BA +BA = E-BA +B(E-AB)^(-1)A(E-BA)= (E +B(E-AB)^(-1)A)(E-BA)所以 E-BA 可逆,且 (E-BA)^(-1) = E +B(E-AB)^(-1)A