If B is a non-singular matrix and A is a square matrix, then det (B-1 AB) is equal to

Question

If B is a non-singular matrix and A is a square matrix, then det (B-1 AB) is equal to (A) det (A-1) (B) det (B-1) (C) det (A) (D) det (B)

Tardigrade Admin · Accepted Answer

det(B-1 AB) = det(B-1)det A det B = det(B-1).det B. det A = det(B-1 B).det A = det I. det A = 1⋅ det A= det A

Q. If $B$ is a non-singular matrix and $A$ is a square matrix, then det $(B^{- 1} A B)$ is equal to