Q. Which one of the following is correct? If $A$ non-singular matrix, then
A) $\det\ (A^{- 1})$ =det $(A)$
B) $\det$ $(A^{- 1})$=$\frac{1}{det\ (A)}$
C) $\det$ $\left( A^{- 1} \right) = 1$
D) None of these
Explanation
The correct answer is Option B: $\det$ $(A^{- 1})$=$\frac{1}{det\ (A)}$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.