If A is a square matrix of order 3 and $|A| = -3$, then value of $|2AA^T|$ is
Answer & explanation
Correct answer: option 3
$|A| = -3$
so, $|2AA^T|=2^3|A||A^T|$ $[∵|A|=|A^T|=-3]$
$=8×(-3)×(-3)$
$=72$
If A is a square matrix of order 3 and $|A| = -3$, then value of $|2AA^T|$ is
Correct answer: option 3
$|A| = -3$
so, $|2AA^T|=2^3|A||A^T|$ $[∵|A|=|A^T|=-3]$
$=8×(-3)×(-3)$
$=72$