西要毛子律技大学XIDIANUNIVERSITY例2.设A、BEPnxn为两个取定的矩阵，定义变换(X) = AX,VX e pnxnT(X) = XB,则o, 皆为pnxn的线性变换，且对VX pmxn,有(αt)(X) = (t(X)) = α(XB) = A(XB) = AXB,(t)(X) = t(α(X)) = t(AX) = (AX)B = AXB.. ot = to. ( ) , 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     =  