1.Ax=λx,(x≠0)====>(A^)x=(A^)(Ax/λ)=[det(A)/λ]x

==================>[(A^*)+3A-3E]x=[det(A)/λ+3λ-3]x;

2.det(A)=(1)×(-1)×2=-2,故det(A)/1+3×1-3=-2,det(A)/（-1）+3×（-1）-3=-4，det(A)/2+3×2-3=2为A*+3A-3E的特征值；

3.│A*+3A-3E│=（-2）×(-4)×2=16.