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)

256

Answer 2

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