Let AAA be a 3×33 \times 33×3 matrix such that det(A)=2\det(A) = 2det(A)=2. If B=adj(A)B = \text{adj}(A)B=adj(A) is the adjugate matrix, calculate det(BTB)\det(B^T B)det(BTB).
646464
161616
444
256256256