Question

Let A and B are 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 equal to

Answer 1

@michele_laino

Answer 2

@wio

Answer 3

@sparrow2

Answer 4

Remember the rules of determinates

Answer 5

I believe\[
\det(A^{-1}) = \frac{1}{\det(A)}\\ \det(AB)=\det(A)\det(B)
\]

Answer 6

I don't know what \(adj\) is though.

Answer 7

https://en.wikipedia.org/wiki/Adjugate_matrix

Answer 8

Adjoint is transpose of cofactor matrix..

Answer 9

@ganeshie8