计算题：设3阶矩阵A的行列式|A|=1/2,A*为A的伴随矩阵,求行列式D=|（3A）-1-2A*|.

A⁻¹ = A*/|A| = A*/(1/2) = 2A*
|(3A)⁻¹ - 2A*|
= |(1/3)A⁻¹ - A⁻¹|
= (1/3 - 1)³|A⁻¹|
= (-8/27) * 1/|A|
= (-8/27) * 2
= -16/27