西安毛子科技大学一XIDIANUNIVERSITY证: 对 Vα,βeV, VkeP,α-'(α+ β) = α-i((0o-")(α)+(0-)(β)=α-"(α(α-'(α)+α"(β)=(α-)(α(α)+α(β)=α-(α)+α-l(β)α(kα)=α(k(0-")(α)=α"(k(o(α-(α)=α-(o(k(α (α) =k(-(α) = ko-"(α)：α-1是V的线性变换( ) (( )( ) ( )( )) 1 1 1 1         − − − − + = + ( ( ( ) ( ))) 1 1 1       − − − = + ( ) ( ) 1 1     − − = + 证：对      , , , V k P ( )( ( ) ( )) 1 1 1       − − − = + ( ) ( ( )( )) ( ( ( ( )))) 1 1 1 1 1          k k k − − − − − = = ( ( ( ( )))) ( ( )) ( ) 1 1 1 1         k k k − − − − = = = 是V的线性变换. 1  − 