证：由已知，有o(e1,62,..,en)=(e1,E2,".,en)A,o(2,n.)=(n2,, .)B,(n,n2,,n.)=(8,2,,gn)X.于是,(n,n2,".,nn)=α(c1,62,.,8n)X(,62,,8,)AX =(n,n2,,nn)X-AX.B=X-1AX.由此即得87.3线性变换的矩阵区区§7.3 线性变换的矩阵 证：由已知，有        ( 1 2 1 2 , , , , , , , n n ) = ( ) A        ( 1 2 1 2 , , , , , , , n n ) = ( )B (      1 2 1 2 , , , , , . n n ) = ( , ) X 于是，         ( 1 2 1 2 , , , , , n n ) = ( , ) X = (   1 2 , , , n ) AX = (   1 2 , , , . n ) X AX - 1 由此即得 B X AX. - 1 =