JEE Math Practice Question

Let A be a 3 $$ \times $$ 3 matrix such that adj A = $$\left[ {\begin{matrix} 2 & { - 1} & 1 \\ { - 1} & 0 & 2 \\ 1 & { - 2} & { - 1} \\ \end{matrix} } \right]$$ and B = adj(adj A). If |A| = $$\lambda $$ and |(B-1)T| = $$\mu $$ , then the ordered pair, (|$$\lambda $$|, $$\mu $$) is equal to :

1. A.(3, 81)
2. B.$$\left( {9,{1 \over 9}} \right)$$
3. C.$$\left( {3,{1 \over {81}}} \right)$$
4. D.$$\left( {9,{1 \over {81}}} \right)$$