If A is a square matrix of order 3 such that $|2(adj A)| = 288$, then the value of $|A|$ is

144 36 ±12 ±6

±6

$|2(adj\, A)| = 288$ $⇒2^3|adj\, A|=288$ $=2^3|A|^2=288$ $|A|^2=36$ $|A|=±6$