If A is a square matrix and |A|=4, then the value of |AA'| where A' is transpose of A, is :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 16
$|A|=4$
$|A|=|A^T|=4$
so $AA^T|=|A||A^T|=4×4$
$=16$
If A is a square matrix and |A|=4, then the value of |AA'| where A' is transpose of A, is :
Correct answer: option 1
The correct answer is Option (1) → 16
$|A|=4$
$|A|=|A^T|=4$
so $AA^T|=|A||A^T|=4×4$
$=16$