Let A and B be two square matrices of order 3 such that det.(A)=3 and det. (B)=2, then the value of
det. adj⋅B−1A−1−1 is
adj⋅B−1A−1−1=adj⋅(AB)−1−1=(adj⋅(AB))−1−1=adj⋅(AB)
∴detadj⋅B−1A−1−1=|(adj⋅(AB))|
=|AB|2=A2|B|2=9×4=36