If A is an invertible matrix, then det (A^ -1 ) is equal to : - Vidyadip

MCQ

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

A
Det $(A)$
✓
$\frac{1}{\text{det(A)}}$
C
$1$
D
None of these.

✓

Answer

Correct option: B.

$\frac{1}{\text{det(A)}}$

We know that $\big|\text{A}^{-1}\big|=\frac{1}{|\text{A}|}$

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