∵ A的特征值为:1/2,1/3,1/4,1/5,
∴ 与之相似的B的特征值也为:1/2,1/3,1/4,1/5,
∴ B^(-1)的特征值为:2,3,4,5.
又∵ |B| = 1/2·1/3·1/4·1/5 = 1/120,
∴ B* = |B|·B^(-1) = 1/120·B^(-1)的特征值为:1/60,1/40,1/30,1/24,
∴ B*-E的特征值为:-59/60,-39/40,-29/30,-23/24,
∴ |B*-E| = (-59/60)(-39/40)(-29/30)(-23/24) = 511589/576000.