If A is a square matrix of order 3 × 3 and $\left|A^{T}\right|=-3$, then $\left|AA^{T}\right|$ is equal to
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) - 9
$|A|=|A^T|=-3$
$|AA^T|=|A||A^T|$
$=-3×-3=9$
If A is a square matrix of order 3 × 3 and $\left|A^{T}\right|=-3$, then $\left|AA^{T}\right|$ is equal to
Correct answer: option 4
The correct answer is Option (4) - 9
$|A|=|A^T|=-3$
$|AA^T|=|A||A^T|$
$=-3×-3=9$