Q267 / 270 · NDA 2014 (Phase 2) · Mathematics

If $A$ is an invertible matrix, then what is $\operatorname{det}\left(\mathrm{A}^{-1}\right)$ equal to?

A
$\operatorname{det} \mathrm{A}$
Correct answer
B
$\frac{1}{\operatorname{det} \mathrm{~A}}$
C
1
D
None of these

Solution

The correct answer is option (B)

Hence, the correct answer is option: 'B'.

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