Suppose AAA is a 3×33 \times 33×3 matrix with det(A)=4\det(A) = 4det(A)=4, and B=P−1APB = P^{-1}APB=P−1AP where PPP is invertible with det(P)=−2\det(P) = -2det(P)=−2. What is det(B)\det(B)det(B)?
444 (unchanged)
4×(−2)=−84 \times (-2) = -84×(−2)=−8
4−2=−2\frac{4}{-2} = -2−24=−2
Cannot be determined without more information