CUET Preparation Today
CUET
-- Applied Mathematics - Section B2
Algebra
If A is square matrix of order3 with |A|= 3, then |4 adj A| is equal to :
432
476
676
576
The correct answer is Option (4) → 576
$|A|=3$ [Given]
$⇒|Adj\,A|=|A|^{n-1}$ [n = order]
$=|3|^{3-1}=9$
Now,
$|4\,Adj\,A|=(4)^3|Adj\,A|$
$=64×9=576$