西安毛子科技大学二XIDIAN UNIVERSITY线性变换的乘积1.定义设,t为线性空间V的两个线性变换，定义它们的乘积t为：()(α)=((α)，αV则at也是V的线性变换事实上, (t)(α+β)=(t(α+β))=(t(α)+t(β))= α(t(α)+α(t(β) =(t)(α) +(αt)(β),(ot)(kα) = o(t(kα)) = o(kt(α)) = ko(t(α)) = k(ot)(α)一、 线性变换的乘积 1．定义 设  , 为线性空间V的两个线性变换，定义它们 事实上， ( )( ) ( ( )) ( ( ) ( ))             + = + = + 的乘积  为： (      )( ) =   ( ( )), V 则  也是V的线性变换. = + = +           ( ( )) ( ( )) ( )( ) ( )( ), ( )( ) ( ( )) ( ( )) ( ( )) ( )( )              k k k k k ====