If A is a square matrix of order 3 and A' is the transpose of A such that $|A|=-5 ,$ then $|AA'|= $
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 25
$|A|=-5$
$|AA^T|=|A||A|$
$=-5×-5$
$=25$
If A is a square matrix of order 3 and A' is the transpose of A such that $|A|=-5 ,$ then $|AA'|= $
Correct answer: option 1
The correct answer is Option (1) → 25
$|A|=-5$
$|AA^T|=|A||A|$
$=-5×-5$
$=25$