If A is a square matrix of order 3 and $|A| = -3$, then value of $|2AA^T|$ is

-36 -72 72 36

72

$|A| = -3$ so, $|2AA^T|=2^3|A||A^T|$  $[∵|A|=|A^T|=-3]$ $=8×(-3)×(-3)$ $=72$