已知三阶矩阵A及3维列向量X,使向量组X,AX,A^3X线性无关,且满足A^3X=3AX-2A^2X,记B=（X,AX,

AB = A(x,Ax,A^2x)
= (Ax,A^2x,A^3x)
= (Ax,A^2x,3Ax-A^2x)
= (x,Ax,A^2x)C
= BC
其中 C =
0 0 0
1 0 3
0 1 -2