Let $A = [a_{ij}]$ be a square matrix of order 3 with $|A|= 2$ and let $C = [C_{ij}]$, where $C_{ij}$ = cofactor of $a_{ij}$ in A. Then $|C|$ is equal to:

4

The correct answer is Option (2) → 4

Given:

$|A| = 2$, and $C = [C_{ij}]$ is the cofactor matrix of $A$.

Property:

For a square matrix of order $n$,

$|\text{adj}(A)| = |C| = |A|^{n-1}$

For $n = 3$:

$|C| = |A|^{3-1} = |A|^2$

Substitute $|A| = 2$:

$|C| = 2^2 = 4$

Therefore, $|C| = 4$.