例2.设A、BεPmx为两个取定的矩阵，定义变换o(X)= AX,VX e puxnT(X) = XB,则o, 皆为pnxn 的线性变换，且对VXe Pnxn,有(αt)(X) = α(t(X) = (XB) = A(XB) = AXB,(tTo)(X) = t(α(X) = t(AX) = (AX)B = AXB.. ot = to.87.2线性变换的运算A§7.2 线性变换的运算  ( ) , X AX = 例2. 设A、B 为两个取定的矩阵，定义变换 n n P   则  , 皆为 P n n 的线性变换，且对   X Pn n , 有 ( )( ) ( ( )) ( ) ( ) ,     X X XB A XB AXB = = = = ( )( ) ( ( )) ( ) ( ) .     X X AX AX B AXB = = = =  ( ) , X XB = n n X P     =  