1.
Let AA be a non-singular matrix of order 3. If det⁡(3 adj(2 adj((det⁡A)A)))=3−13⋅2−10\det\bigl(3\,\text{adj}\bigl(2\,\text{adj}((\det A)A)\bigr)\bigr) = 3^{-13}\cdot 2^{-10} and det⁡(3 adj(2A))=2m⋅3n\det(3\,\text{adj}(2A)) = 2^{m}\cdot 3^{n}, then ∣3m+2n∣|3m + 2n| is equal to: