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ot为:(αt)(α)=((α),VαV则oT也是V的线性变换事实上, (t)(α+β)=(t(α+β)=(t(α)+(β)=α(t(α)+α(t(β) = (t)(α) +(αt)(β),(ot)(kα) =α(t(kα) = α(kt(α) = ko(t(α) = k(ot)(α)87.2线性变换的运算区区§7.2 线性变换的运算 1．定义 设  , 为线性空间V的两个线性变换，定义它们 事实上， ( )( ) ( ( )) ( ( ) ( ))             + = + = + 一、 线性变换的乘积 的乘积  为： (      )( ) =   ( ( )), V 则  也是V的线性变换. = + = +           ( ( )) ( ( )) ( )( ) ( )( ), ( )( ) ( ( )) ( ( )) ( ( )) ( )( )              k k k k k ====