Question

If the value of a third order determinant is $16$, then the value of the determinant formed by replacing each of its elements by its cofactor is

• A. 256
• B. 96
• C. 16
• D. 48

Answer 1

Answer: (A)

$\left|A\right|=16,O\left(A\right)=3$
$\left|adjA\right|={\left|A\right|}^2$
$=16^2$
$=256$